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Finding the Fourth Proportional to 2,972.83, 4,459.24 and 892.83

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Solution

The fourth proportional to 2,972.83, 4,459.24 and 892.83 is: 1,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.83 : 4,459.24 = 892.83 : x
  2. Step 2: Convert to fraction form
    2,972.83/4,459.24 = 892.83/x
  3. Step 3: Cross multiply
    2,972.83x = 4,459.24 × 892.83
  4. Step 4: Simplify right side
    2,972.83x = 3,981,343.25
  5. Step 5: Solve for x
    x = 3,981,343.25/2,972.83
  6. Step 6: Final answer
    x = 1,339.24

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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.