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Finding the Fourth Proportional to 2,252.52, 3,108.12 and 1,748.70

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Solution

The fourth proportional to 2,252.52, 3,108.12 and 1,748.70 is: 2,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.52 : 3,108.12 = 1,748.70 : x
  2. Step 2: Convert to fraction form
    2,252.52/3,108.12 = 1,748.70/x
  3. Step 3: Cross multiply
    2,252.52x = 3,108.12 × 1,748.70
  4. Step 4: Simplify right side
    2,252.52x = 5,435,169.44
  5. Step 5: Solve for x
    x = 5,435,169.44/2,252.52
  6. Step 6: Final answer
    x = 2,412.93

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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.