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Finding the Fourth Proportional to 2,377.56, 3,280.88 and 1,329.44

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Solution

The fourth proportional to 2,377.56, 3,280.88 and 1,329.44 is: 1,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.56 : 3,280.88 = 1,329.44 : x
  2. Step 2: Convert to fraction form
    2,377.56/3,280.88 = 1,329.44/x
  3. Step 3: Cross multiply
    2,377.56x = 3,280.88 × 1,329.44
  4. Step 4: Simplify right side
    2,377.56x = 4,361,733.11
  5. Step 5: Solve for x
    x = 4,361,733.11/2,377.56
  6. Step 6: Final answer
    x = 1,834.54

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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.