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Finding the Fourth Proportional to 2,319.66, 3,480.25 and 1,542.71

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Solution

The fourth proportional to 2,319.66, 3,480.25 and 1,542.71 is: 2,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.66 : 3,480.25 = 1,542.71 : x
  2. Step 2: Convert to fraction form
    2,319.66/3,480.25 = 1,542.71/x
  3. Step 3: Cross multiply
    2,319.66x = 3,480.25 × 1,542.71
  4. Step 4: Simplify right side
    2,319.66x = 5,369,027.11
  5. Step 5: Solve for x
    x = 5,369,027.11/2,319.66
  6. Step 6: Final answer
    x = 2,314.58

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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.