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Finding the Fourth Proportional to 1,411.87, 2,116.55 and 718.15

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Solution

The fourth proportional to 1,411.87, 2,116.55 and 718.15 is: 1,076.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.87 : 2,116.55 = 718.15 : x
  2. Step 2: Convert to fraction form
    1,411.87/2,116.55 = 718.15/x
  3. Step 3: Cross multiply
    1,411.87x = 2,116.55 × 718.15
  4. Step 4: Simplify right side
    1,411.87x = 1,519,996.79
  5. Step 5: Solve for x
    x = 1,519,996.79/1,411.87
  6. Step 6: Final answer
    x = 1,076.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.