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Finding the Fourth Proportional to 2,593.42, 3,898.23 and 2,463.82

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Solution

The fourth proportional to 2,593.42, 3,898.23 and 2,463.82 is: 3,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.42 : 3,898.23 = 2,463.82 : x
  2. Step 2: Convert to fraction form
    2,593.42/3,898.23 = 2,463.82/x
  3. Step 3: Cross multiply
    2,593.42x = 3,898.23 × 2,463.82
  4. Step 4: Simplify right side
    2,593.42x = 9,604,518.05
  5. Step 5: Solve for x
    x = 9,604,518.05/2,593.42
  6. Step 6: Final answer
    x = 3,703.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.