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Finding the Fourth Proportional to 2,098.32, 3,148.02 and 637.62

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Solution

The fourth proportional to 2,098.32, 3,148.02 and 637.62 is: 956.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.32 : 3,148.02 = 637.62 : x
  2. Step 2: Convert to fraction form
    2,098.32/3,148.02 = 637.62/x
  3. Step 3: Cross multiply
    2,098.32x = 3,148.02 × 637.62
  4. Step 4: Simplify right side
    2,098.32x = 2,007,240.51
  5. Step 5: Solve for x
    x = 2,007,240.51/2,098.32
  6. Step 6: Final answer
    x = 956.59

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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.