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Finding the Fourth Proportional to 2,468.48, 3,703.57 and 1,542.95

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Solution

The fourth proportional to 2,468.48, 3,703.57 and 1,542.95 is: 2,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.48 : 3,703.57 = 1,542.95 : x
  2. Step 2: Convert to fraction form
    2,468.48/3,703.57 = 1,542.95/x
  3. Step 3: Cross multiply
    2,468.48x = 3,703.57 × 1,542.95
  4. Step 4: Simplify right side
    2,468.48x = 5,714,423.52
  5. Step 5: Solve for x
    x = 5,714,423.52/2,468.48
  6. Step 6: Final answer
    x = 2,314.96

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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.