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Finding the Fourth Proportional to 1,867.71, 2,797.65 and 892.83

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Solution

The fourth proportional to 1,867.71, 2,797.65 and 892.83 is: 1,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.71 : 2,797.65 = 892.83 : x
  2. Step 2: Convert to fraction form
    1,867.71/2,797.65 = 892.83/x
  3. Step 3: Cross multiply
    1,867.71x = 2,797.65 × 892.83
  4. Step 4: Simplify right side
    1,867.71x = 2,497,825.85
  5. Step 5: Solve for x
    x = 2,497,825.85/1,867.71
  6. Step 6: Final answer
    x = 1,337.37

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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.