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Finding the Fourth Proportional to 2,377.37, 3,280.21 and 1,432.91

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Solution

The fourth proportional to 2,377.37, 3,280.21 and 1,432.91 is: 1,977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.37 : 3,280.21 = 1,432.91 : x
  2. Step 2: Convert to fraction form
    2,377.37/3,280.21 = 1,432.91/x
  3. Step 3: Cross multiply
    2,377.37x = 3,280.21 × 1,432.91
  4. Step 4: Simplify right side
    2,377.37x = 4,700,225.73
  5. Step 5: Solve for x
    x = 4,700,225.73/2,377.37
  6. Step 6: Final answer
    x = 1,977.07

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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.