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Finding the Fourth Proportional to 3,430.56, 4,732.43 and 2,169.49

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Solution

The fourth proportional to 3,430.56, 4,732.43 and 2,169.49 is: 2,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.56 : 4,732.43 = 2,169.49 : x
  2. Step 2: Convert to fraction form
    3,430.56/4,732.43 = 2,169.49/x
  3. Step 3: Cross multiply
    3,430.56x = 4,732.43 × 2,169.49
  4. Step 4: Simplify right side
    3,430.56x = 10,266,959.56
  5. Step 5: Solve for x
    x = 10,266,959.56/3,430.56
  6. Step 6: Final answer
    x = 2,992.79

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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.