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Finding the Fourth Proportional to 2,377.68, 3,281.31 and 1,329.78

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Solution

The fourth proportional to 2,377.68, 3,281.31 and 1,329.78 is: 1,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.68 : 3,281.31 = 1,329.78 : x
  2. Step 2: Convert to fraction form
    2,377.68/3,281.31 = 1,329.78/x
  3. Step 3: Cross multiply
    2,377.68x = 3,281.31 × 1,329.78
  4. Step 4: Simplify right side
    2,377.68x = 4,363,420.41
  5. Step 5: Solve for x
    x = 4,363,420.41/2,377.68
  6. Step 6: Final answer
    x = 1,835.16

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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.