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Finding the Fourth Proportional to 3,039.62, 4,193.19 and 1,780.70

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Solution

The fourth proportional to 3,039.62, 4,193.19 and 1,780.70 is: 2,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.62 : 4,193.19 = 1,780.70 : x
  2. Step 2: Convert to fraction form
    3,039.62/4,193.19 = 1,780.70/x
  3. Step 3: Cross multiply
    3,039.62x = 4,193.19 × 1,780.70
  4. Step 4: Simplify right side
    3,039.62x = 7,466,792.47
  5. Step 5: Solve for x
    x = 7,466,792.47/3,039.62
  6. Step 6: Final answer
    x = 2,456.49

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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.