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Finding the Fourth Proportional to 1,411.24, 1,947.68 and 887.20

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Solution

The fourth proportional to 1,411.24, 1,947.68 and 887.20 is: 1,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.24 : 1,947.68 = 887.20 : x
  2. Step 2: Convert to fraction form
    1,411.24/1,947.68 = 887.20/x
  3. Step 3: Cross multiply
    1,411.24x = 1,947.68 × 887.20
  4. Step 4: Simplify right side
    1,411.24x = 1,727,981.70
  5. Step 5: Solve for x
    x = 1,727,981.70/1,411.24
  6. Step 6: Final answer
    x = 1,224.44

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