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Finding the Fourth Proportional to 2,098.86, 3,148.27 and 638.01

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Solution

The fourth proportional to 2,098.86, 3,148.27 and 638.01 is: 957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.86 : 3,148.27 = 638.01 : x
  2. Step 2: Convert to fraction form
    2,098.86/3,148.27 = 638.01/x
  3. Step 3: Cross multiply
    2,098.86x = 3,148.27 × 638.01
  4. Step 4: Simplify right side
    2,098.86x = 2,008,620.52
  5. Step 5: Solve for x
    x = 2,008,620.52/2,098.86
  6. Step 6: Final answer
    x = 957.01

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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.