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Finding the Fourth Proportional to 2,723.70, 4,086.18 and 874.92

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Solution

The fourth proportional to 2,723.70, 4,086.18 and 874.92 is: 1,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.70 : 4,086.18 = 874.92 : x
  2. Step 2: Convert to fraction form
    2,723.70/4,086.18 = 874.92/x
  3. Step 3: Cross multiply
    2,723.70x = 4,086.18 × 874.92
  4. Step 4: Simplify right side
    2,723.70x = 3,575,080.61
  5. Step 5: Solve for x
    x = 3,575,080.61/2,723.70
  6. Step 6: Final answer
    x = 1,312.58

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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.