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Finding the Fourth Proportional to 3,121.52, 4,678.14 and 1,657.52

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Solution

The fourth proportional to 3,121.52, 4,678.14 and 1,657.52 is: 2,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.52 : 4,678.14 = 1,657.52 : x
  2. Step 2: Convert to fraction form
    3,121.52/4,678.14 = 1,657.52/x
  3. Step 3: Cross multiply
    3,121.52x = 4,678.14 × 1,657.52
  4. Step 4: Simplify right side
    3,121.52x = 7,754,110.61
  5. Step 5: Solve for x
    x = 7,754,110.61/3,121.52
  6. Step 6: Final answer
    x = 2,484.08

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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.