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Finding the Fourth Proportional to 2,691, 3,713.58 and 1,642.92

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Solution

The fourth proportional to 2,691, 3,713.58 and 1,642.92 is: 2,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691 : 3,713.58 = 1,642.92 : x
  2. Step 2: Convert to fraction form
    2,691/3,713.58 = 1,642.92/x
  3. Step 3: Cross multiply
    2,691x = 3,713.58 × 1,642.92
  4. Step 4: Simplify right side
    2,691x = 6,101,114.85
  5. Step 5: Solve for x
    x = 6,101,114.85/2,691
  6. Step 6: Final answer
    x = 2,267.23

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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.