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Finding the Fourth Proportional to 1,695.13, 2,542.15 and 540.61

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Solution

The fourth proportional to 1,695.13, 2,542.15 and 540.61 is: 810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.13 : 2,542.15 = 540.61 : x
  2. Step 2: Convert to fraction form
    1,695.13/2,542.15 = 540.61/x
  3. Step 3: Cross multiply
    1,695.13x = 2,542.15 × 540.61
  4. Step 4: Simplify right side
    1,695.13x = 1,374,311.71
  5. Step 5: Solve for x
    x = 1,374,311.71/1,695.13
  6. Step 6: Final answer
    x = 810.74

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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.