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Finding the Fourth Proportional to 2,349, 3,241.89 and 1,354.55

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Solution

The fourth proportional to 2,349, 3,241.89 and 1,354.55 is: 1,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349 : 3,241.89 = 1,354.55 : x
  2. Step 2: Convert to fraction form
    2,349/3,241.89 = 1,354.55/x
  3. Step 3: Cross multiply
    2,349x = 3,241.89 × 1,354.55
  4. Step 4: Simplify right side
    2,349x = 4,391,285.89
  5. Step 5: Solve for x
    x = 4,391,285.89/2,349
  6. Step 6: Final answer
    x = 1,869.43

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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.