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Finding the Fourth Proportional to 2,473.52, 3,412.62 and 1,677.92

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Solution

The fourth proportional to 2,473.52, 3,412.62 and 1,677.92 is: 2,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.52 : 3,412.62 = 1,677.92 : x
  2. Step 2: Convert to fraction form
    2,473.52/3,412.62 = 1,677.92/x
  3. Step 3: Cross multiply
    2,473.52x = 3,412.62 × 1,677.92
  4. Step 4: Simplify right side
    2,473.52x = 5,726,103.35
  5. Step 5: Solve for x
    x = 5,726,103.35/2,473.52
  6. Step 6: Final answer
    x = 2,314.96

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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.