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Finding the Fourth Proportional to 3,124.65, 4,311.99 and 1,780.43

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Solution

The fourth proportional to 3,124.65, 4,311.99 and 1,780.43 is: 2,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.65 : 4,311.99 = 1,780.43 : x
  2. Step 2: Convert to fraction form
    3,124.65/4,311.99 = 1,780.43/x
  3. Step 3: Cross multiply
    3,124.65x = 4,311.99 × 1,780.43
  4. Step 4: Simplify right side
    3,124.65x = 7,677,174.80
  5. Step 5: Solve for x
    x = 7,677,174.80/3,124.65
  6. Step 6: Final answer
    x = 2,456.97

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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.