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Finding the Fourth Proportional to 1,541.59, 2,310.06 and 718.90

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Solution

The fourth proportional to 1,541.59, 2,310.06 and 718.90 is: 1,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.59 : 2,310.06 = 718.90 : x
  2. Step 2: Convert to fraction form
    1,541.59/2,310.06 = 718.90/x
  3. Step 3: Cross multiply
    1,541.59x = 2,310.06 × 718.90
  4. Step 4: Simplify right side
    1,541.59x = 1,660,702.13
  5. Step 5: Solve for x
    x = 1,660,702.13/1,541.59
  6. Step 6: Final answer
    x = 1,077.27

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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.