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Finding the Fourth Proportional to 2,174.76, 3,001.17 and 1,180.05

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Solution

The fourth proportional to 2,174.76, 3,001.17 and 1,180.05 is: 1,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.76 : 3,001.17 = 1,180.05 : x
  2. Step 2: Convert to fraction form
    2,174.76/3,001.17 = 1,180.05/x
  3. Step 3: Cross multiply
    2,174.76x = 3,001.17 × 1,180.05
  4. Step 4: Simplify right side
    2,174.76x = 3,541,530.66
  5. Step 5: Solve for x
    x = 3,541,530.66/2,174.76
  6. Step 6: Final answer
    x = 1,628.47

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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.