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Finding the Fourth Proportional to 2,098.55, 3,147.62 and 637.71

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Solution

The fourth proportional to 2,098.55, 3,147.62 and 637.71 is: 956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.55 : 3,147.62 = 637.71 : x
  2. Step 2: Convert to fraction form
    2,098.55/3,147.62 = 637.71/x
  3. Step 3: Cross multiply
    2,098.55x = 3,147.62 × 637.71
  4. Step 4: Simplify right side
    2,098.55x = 2,007,268.75
  5. Step 5: Solve for x
    x = 2,007,268.75/2,098.55
  6. Step 6: Final answer
    x = 956.50

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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.