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Finding the Fourth Proportional to 3,430.34, 4,732.13 and 2,169.27

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Solution

The fourth proportional to 3,430.34, 4,732.13 and 2,169.27 is: 2,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.34 : 4,732.13 = 2,169.27 : x
  2. Step 2: Convert to fraction form
    3,430.34/4,732.13 = 2,169.27/x
  3. Step 3: Cross multiply
    3,430.34x = 4,732.13 × 2,169.27
  4. Step 4: Simplify right side
    3,430.34x = 10,265,267.65
  5. Step 5: Solve for x
    x = 10,265,267.65/3,430.34
  6. Step 6: Final answer
    x = 2,992.49

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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.