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Finding the Fourth Proportional to 3,440, 4,747.80 and 2,042.72

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Solution

The fourth proportional to 3,440, 4,747.80 and 2,042.72 is: 2,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440 : 4,747.80 = 2,042.72 : x
  2. Step 2: Convert to fraction form
    3,440/4,747.80 = 2,042.72/x
  3. Step 3: Cross multiply
    3,440x = 4,747.80 × 2,042.72
  4. Step 4: Simplify right side
    3,440x = 9,698,426.02
  5. Step 5: Solve for x
    x = 9,698,426.02/3,440
  6. Step 6: Final answer
    x = 2,819.31

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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.