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Finding the Fourth Proportional to 3,138.59, 4,710.92 and 1,678.77

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Solution

The fourth proportional to 3,138.59, 4,710.92 and 1,678.77 is: 2,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.59 : 4,710.92 = 1,678.77 : x
  2. Step 2: Convert to fraction form
    3,138.59/4,710.92 = 1,678.77/x
  3. Step 3: Cross multiply
    3,138.59x = 4,710.92 × 1,678.77
  4. Step 4: Simplify right side
    3,138.59x = 7,908,551.17
  5. Step 5: Solve for x
    x = 7,908,551.17/3,138.59
  6. Step 6: Final answer
    x = 2,519.78

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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.