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Finding the Fourth Proportional to 2,710.96, 4,046.82 and 2,508.06

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Solution

The fourth proportional to 2,710.96, 4,046.82 and 2,508.06 is: 3,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.96 : 4,046.82 = 2,508.06 : x
  2. Step 2: Convert to fraction form
    2,710.96/4,046.82 = 2,508.06/x
  3. Step 3: Cross multiply
    2,710.96x = 4,046.82 × 2,508.06
  4. Step 4: Simplify right side
    2,710.96x = 10,149,647.14
  5. Step 5: Solve for x
    x = 10,149,647.14/2,710.96
  6. Step 6: Final answer
    x = 3,743.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.