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Finding the Fourth Proportional to 2,473.93, 3,414.59 and 1,542.25

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Solution

The fourth proportional to 2,473.93, 3,414.59 and 1,542.25 is: 2,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.93 : 3,414.59 = 1,542.25 : x
  2. Step 2: Convert to fraction form
    2,473.93/3,414.59 = 1,542.25/x
  3. Step 3: Cross multiply
    2,473.93x = 3,414.59 × 1,542.25
  4. Step 4: Simplify right side
    2,473.93x = 5,266,143.72
  5. Step 5: Solve for x
    x = 5,266,143.72/2,473.93
  6. Step 6: Final answer
    x = 2,128.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.