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Finding the Fourth Proportional to 1,812.76, 2,501.62 and 984.76

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Solution

The fourth proportional to 1,812.76, 2,501.62 and 984.76 is: 1,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.76 : 2,501.62 = 984.76 : x
  2. Step 2: Convert to fraction form
    1,812.76/2,501.62 = 984.76/x
  3. Step 3: Cross multiply
    1,812.76x = 2,501.62 × 984.76
  4. Step 4: Simplify right side
    1,812.76x = 2,463,495.31
  5. Step 5: Solve for x
    x = 2,463,495.31/1,812.76
  6. Step 6: Final answer
    x = 1,358.97

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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.