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Finding the Fourth Proportional to 3,402.34, 5,103.71 and 1,321.65

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Solution

The fourth proportional to 3,402.34, 5,103.71 and 1,321.65 is: 1,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.34 : 5,103.71 = 1,321.65 : x
  2. Step 2: Convert to fraction form
    3,402.34/5,103.71 = 1,321.65/x
  3. Step 3: Cross multiply
    3,402.34x = 5,103.71 × 1,321.65
  4. Step 4: Simplify right side
    3,402.34x = 6,745,316.67
  5. Step 5: Solve for x
    x = 6,745,316.67/3,402.34
  6. Step 6: Final answer
    x = 1,982.55

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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.