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Finding the Fourth Proportional to 1,411.84, 1,947 and 1,080.28

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Solution

The fourth proportional to 1,411.84, 1,947 and 1,080.28 is: 1,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.84 : 1,947 = 1,080.28 : x
  2. Step 2: Convert to fraction form
    1,411.84/1,947 = 1,080.28/x
  3. Step 3: Cross multiply
    1,411.84x = 1,947 × 1,080.28
  4. Step 4: Simplify right side
    1,411.84x = 2,103,305.16
  5. Step 5: Solve for x
    x = 2,103,305.16/1,411.84
  6. Step 6: Final answer
    x = 1,489.76

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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.