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Finding the Fourth Proportional to 1,541.87, 2,312.75 and 617.18

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Solution

The fourth proportional to 1,541.87, 2,312.75 and 617.18 is: 925.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.87 : 2,312.75 = 617.18 : x
  2. Step 2: Convert to fraction form
    1,541.87/2,312.75 = 617.18/x
  3. Step 3: Cross multiply
    1,541.87x = 2,312.75 × 617.18
  4. Step 4: Simplify right side
    1,541.87x = 1,427,379.53
  5. Step 5: Solve for x
    x = 1,427,379.53/1,541.87
  6. Step 6: Final answer
    x = 925.75

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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.