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Finding the Fourth Proportional to 2,131.92, 2,941.92 and 1,247.88

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Solution

The fourth proportional to 2,131.92, 2,941.92 and 1,247.88 is: 1,722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.92 : 2,941.92 = 1,247.88 : x
  2. Step 2: Convert to fraction form
    2,131.92/2,941.92 = 1,247.88/x
  3. Step 3: Cross multiply
    2,131.92x = 2,941.92 × 1,247.88
  4. Step 4: Simplify right side
    2,131.92x = 3,671,163.13
  5. Step 5: Solve for x
    x = 3,671,163.13/2,131.92
  6. Step 6: Final answer
    x = 1,722.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.