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Finding the Fourth Proportional to 1,410.40, 1,947.16 and 938.92

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Solution

The fourth proportional to 1,410.40, 1,947.16 and 938.92 is: 1,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.40 : 1,947.16 = 938.92 : x
  2. Step 2: Convert to fraction form
    1,410.40/1,947.16 = 938.92/x
  3. Step 3: Cross multiply
    1,410.40x = 1,947.16 × 938.92
  4. Step 4: Simplify right side
    1,410.40x = 1,828,227.47
  5. Step 5: Solve for x
    x = 1,828,227.47/1,410.40
  6. Step 6: Final answer
    x = 1,296.25

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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.