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Finding the Fourth Proportional to 1,541.71, 2,312.46 and 720.17

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Solution

The fourth proportional to 1,541.71, 2,312.46 and 720.17 is: 1,080.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.71 : 2,312.46 = 720.17 : x
  2. Step 2: Convert to fraction form
    1,541.71/2,312.46 = 720.17/x
  3. Step 3: Cross multiply
    1,541.71x = 2,312.46 × 720.17
  4. Step 4: Simplify right side
    1,541.71x = 1,665,352.76
  5. Step 5: Solve for x
    x = 1,665,352.76/1,541.71
  6. Step 6: Final answer
    x = 1,080.20

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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.