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Finding the Fourth Proportional to 2,387.80, 3,295.72 and 1,592.38

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Solution

The fourth proportional to 2,387.80, 3,295.72 and 1,592.38 is: 2,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.80 : 3,295.72 = 1,592.38 : x
  2. Step 2: Convert to fraction form
    2,387.80/3,295.72 = 1,592.38/x
  3. Step 3: Cross multiply
    2,387.80x = 3,295.72 × 1,592.38
  4. Step 4: Simplify right side
    2,387.80x = 5,248,038.61
  5. Step 5: Solve for x
    x = 5,248,038.61/2,387.80
  6. Step 6: Final answer
    x = 2,197.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.