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Finding the Fourth Proportional to 2,098.85, 3,148.28 and 638.00

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Solution

The fourth proportional to 2,098.85, 3,148.28 and 638.00 is: 956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.85 : 3,148.28 = 638.00 : x
  2. Step 2: Convert to fraction form
    2,098.85/3,148.28 = 638.00/x
  3. Step 3: Cross multiply
    2,098.85x = 3,148.28 × 638.00
  4. Step 4: Simplify right side
    2,098.85x = 2,008,583.71
  5. Step 5: Solve for x
    x = 2,008,583.71/2,098.85
  6. Step 6: Final answer
    x = 956.99

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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.