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Finding the Fourth Proportional to 1,411.40, 1,947.50 and 887.06

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Solution

The fourth proportional to 1,411.40, 1,947.50 and 887.06 is: 1,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.40 : 1,947.50 = 887.06 : x
  2. Step 2: Convert to fraction form
    1,411.40/1,947.50 = 887.06/x
  3. Step 3: Cross multiply
    1,411.40x = 1,947.50 × 887.06
  4. Step 4: Simplify right side
    1,411.40x = 1,727,535.18
  5. Step 5: Solve for x
    x = 1,727,535.18/1,411.40
  6. Step 6: Final answer
    x = 1,223.99

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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.