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Finding the Fourth Proportional to 2,114.07, 2,918.10 and 1,484.76

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Solution

The fourth proportional to 2,114.07, 2,918.10 and 1,484.76 is: 2,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.07 : 2,918.10 = 1,484.76 : x
  2. Step 2: Convert to fraction form
    2,114.07/2,918.10 = 1,484.76/x
  3. Step 3: Cross multiply
    2,114.07x = 2,918.10 × 1,484.76
  4. Step 4: Simplify right side
    2,114.07x = 4,332,678.16
  5. Step 5: Solve for x
    x = 4,332,678.16/2,114.07
  6. Step 6: Final answer
    x = 2,049.45

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.