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Finding the Fourth Proportional to 2,252.81, 3,108.42 and 1,257.93

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Solution

The fourth proportional to 2,252.81, 3,108.42 and 1,257.93 is: 1,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.81 : 3,108.42 = 1,257.93 : x
  2. Step 2: Convert to fraction form
    2,252.81/3,108.42 = 1,257.93/x
  3. Step 3: Cross multiply
    2,252.81x = 3,108.42 × 1,257.93
  4. Step 4: Simplify right side
    2,252.81x = 3,910,159.23
  5. Step 5: Solve for x
    x = 3,910,159.23/2,252.81
  6. Step 6: Final answer
    x = 1,735.68

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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.