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Finding the Fourth Proportional to 2,713.17, 3,747.69 and 2,006.46

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Solution

The fourth proportional to 2,713.17, 3,747.69 and 2,006.46 is: 2,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.17 : 3,747.69 = 2,006.46 : x
  2. Step 2: Convert to fraction form
    2,713.17/3,747.69 = 2,006.46/x
  3. Step 3: Cross multiply
    2,713.17x = 3,747.69 × 2,006.46
  4. Step 4: Simplify right side
    2,713.17x = 7,519,590.08
  5. Step 5: Solve for x
    x = 7,519,590.08/2,713.17
  6. Step 6: Final answer
    x = 2,771.51

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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.