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Finding the Fourth Proportional to 2,098.87, 3,148.42 and 638.03

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Solution

The fourth proportional to 2,098.87, 3,148.42 and 638.03 is: 957.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.87 : 3,148.42 = 638.03 : x
  2. Step 2: Convert to fraction form
    2,098.87/3,148.42 = 638.03/x
  3. Step 3: Cross multiply
    2,098.87x = 3,148.42 × 638.03
  4. Step 4: Simplify right side
    2,098.87x = 2,008,786.41
  5. Step 5: Solve for x
    x = 2,008,786.41/2,098.87
  6. Step 6: Final answer
    x = 957.08

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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.