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Finding the Fourth Proportional to 2,098.67, 3,148.46 and 637.94

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Solution

The fourth proportional to 2,098.67, 3,148.46 and 637.94 is: 957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.67 : 3,148.46 = 637.94 : x
  2. Step 2: Convert to fraction form
    2,098.67/3,148.46 = 637.94/x
  3. Step 3: Cross multiply
    2,098.67x = 3,148.46 × 637.94
  4. Step 4: Simplify right side
    2,098.67x = 2,008,538.04
  5. Step 5: Solve for x
    x = 2,008,538.04/2,098.67
  6. Step 6: Final answer
    x = 957.05

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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.