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Finding the Fourth Proportional to 2,423.80, 3,342.90 and 1,539.82

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Solution

The fourth proportional to 2,423.80, 3,342.90 and 1,539.82 is: 2,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.80 : 3,342.90 = 1,539.82 : x
  2. Step 2: Convert to fraction form
    2,423.80/3,342.90 = 1,539.82/x
  3. Step 3: Cross multiply
    2,423.80x = 3,342.90 × 1,539.82
  4. Step 4: Simplify right side
    2,423.80x = 5,147,464.28
  5. Step 5: Solve for x
    x = 5,147,464.28/2,423.80
  6. Step 6: Final answer
    x = 2,123.72

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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.