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Finding the Fourth Proportional to 2,398.13, 3,592.53 and 1,354.98

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Solution

The fourth proportional to 2,398.13, 3,592.53 and 1,354.98 is: 2,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.13 : 3,592.53 = 1,354.98 : x
  2. Step 2: Convert to fraction form
    2,398.13/3,592.53 = 1,354.98/x
  3. Step 3: Cross multiply
    2,398.13x = 3,592.53 × 1,354.98
  4. Step 4: Simplify right side
    2,398.13x = 4,867,795.75
  5. Step 5: Solve for x
    x = 4,867,795.75/2,398.13
  6. Step 6: Final answer
    x = 2,029.83

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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.