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Finding the Fourth Proportional to 2,377.52, 3,280.84 and 1,433.62

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Solution

The fourth proportional to 2,377.52, 3,280.84 and 1,433.62 is: 1,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.52 : 3,280.84 = 1,433.62 : x
  2. Step 2: Convert to fraction form
    2,377.52/3,280.84 = 1,433.62/x
  3. Step 3: Cross multiply
    2,377.52x = 3,280.84 × 1,433.62
  4. Step 4: Simplify right side
    2,377.52x = 4,703,462.47
  5. Step 5: Solve for x
    x = 4,703,462.47/2,377.52
  6. Step 6: Final answer
    x = 1,978.31

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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.