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Finding the Fourth Proportional to 2,098.42, 3,147.65 and 637.57

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Solution

The fourth proportional to 2,098.42, 3,147.65 and 637.57 is: 956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.42 : 3,147.65 = 637.57 : x
  2. Step 2: Convert to fraction form
    2,098.42/3,147.65 = 637.57/x
  3. Step 3: Cross multiply
    2,098.42x = 3,147.65 × 637.57
  4. Step 4: Simplify right side
    2,098.42x = 2,006,849.45
  5. Step 5: Solve for x
    x = 2,006,849.45/2,098.42
  6. Step 6: Final answer
    x = 956.36

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1.5x scale

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.