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Finding the Fourth Proportional to 2,099.06, 3,148.94 and 637.88

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Solution

The fourth proportional to 2,099.06, 3,148.94 and 637.88 is: 956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.06 : 3,148.94 = 637.88 : x
  2. Step 2: Convert to fraction form
    2,099.06/3,148.94 = 637.88/x
  3. Step 3: Cross multiply
    2,099.06x = 3,148.94 × 637.88
  4. Step 4: Simplify right side
    2,099.06x = 2,008,629.01
  5. Step 5: Solve for x
    x = 2,008,629.01/2,099.06
  6. Step 6: Final answer
    x = 956.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.