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Finding the Fourth Proportional to 1,542.51, 2,314.17 and 617.90

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Solution

The fourth proportional to 1,542.51, 2,314.17 and 617.90 is: 927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.51 : 2,314.17 = 617.90 : x
  2. Step 2: Convert to fraction form
    1,542.51/2,314.17 = 617.90/x
  3. Step 3: Cross multiply
    1,542.51x = 2,314.17 × 617.90
  4. Step 4: Simplify right side
    1,542.51x = 1,429,914.07
  5. Step 5: Solve for x
    x = 1,429,914.07/1,542.51
  6. Step 6: Final answer
    x = 927.00

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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.