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Finding the Fourth Proportional to 2,099.20, 3,148.34 and 638.06

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Solution

The fourth proportional to 2,099.20, 3,148.34 and 638.06 is: 956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.20 : 3,148.34 = 638.06 : x
  2. Step 2: Convert to fraction form
    2,099.20/3,148.34 = 638.06/x
  3. Step 3: Cross multiply
    2,099.20x = 3,148.34 × 638.06
  4. Step 4: Simplify right side
    2,099.20x = 2,008,829.82
  5. Step 5: Solve for x
    x = 2,008,829.82/2,099.20
  6. Step 6: Final answer
    x = 956.95

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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.