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Finding the Fourth Proportional to 2,098.90, 3,147.10 and 864.91

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Solution

The fourth proportional to 2,098.90, 3,147.10 and 864.91 is: 1,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.90 : 3,147.10 = 864.91 : x
  2. Step 2: Convert to fraction form
    2,098.90/3,147.10 = 864.91/x
  3. Step 3: Cross multiply
    2,098.90x = 3,147.10 × 864.91
  4. Step 4: Simplify right side
    2,098.90x = 2,721,958.26
  5. Step 5: Solve for x
    x = 2,721,958.26/2,098.90
  6. Step 6: Final answer
    x = 1,296.85

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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.