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Finding the Fourth Proportional to 2,468.49, 3,703.56 and 1,542.93

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Solution

The fourth proportional to 2,468.49, 3,703.56 and 1,542.93 is: 2,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.49 : 3,703.56 = 1,542.93 : x
  2. Step 2: Convert to fraction form
    2,468.49/3,703.56 = 1,542.93/x
  3. Step 3: Cross multiply
    2,468.49x = 3,703.56 × 1,542.93
  4. Step 4: Simplify right side
    2,468.49x = 5,714,333.83
  5. Step 5: Solve for x
    x = 5,714,333.83/2,468.49
  6. Step 6: Final answer
    x = 2,314.91

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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.