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Finding the Fourth Proportional to 2,098.72, 3,148.38 and 711.79

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Solution

The fourth proportional to 2,098.72, 3,148.38 and 711.79 is: 1,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.72 : 3,148.38 = 711.79 : x
  2. Step 2: Convert to fraction form
    2,098.72/3,148.38 = 711.79/x
  3. Step 3: Cross multiply
    2,098.72x = 3,148.38 × 711.79
  4. Step 4: Simplify right side
    2,098.72x = 2,240,985.40
  5. Step 5: Solve for x
    x = 2,240,985.40/2,098.72
  6. Step 6: Final answer
    x = 1,067.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.