Home / 2,142.12-3,213.02-842.92

Finding the Fourth Proportional to 2,142.12, 3,213.02 and 842.92

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Solution

The fourth proportional to 2,142.12, 3,213.02 and 842.92 is: 1,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.12 : 3,213.02 = 842.92 : x
  2. Step 2: Convert to fraction form
    2,142.12/3,213.02 = 842.92/x
  3. Step 3: Cross multiply
    2,142.12x = 3,213.02 × 842.92
  4. Step 4: Simplify right side
    2,142.12x = 2,708,318.82
  5. Step 5: Solve for x
    x = 2,708,318.82/2,142.12
  6. Step 6: Final answer
    x = 1,264.32

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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.