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Finding the Fourth Proportional to 2,162.22, 3,242.79 and 862.98

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Solution

The fourth proportional to 2,162.22, 3,242.79 and 862.98 is: 1,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.22 : 3,242.79 = 862.98 : x
  2. Step 2: Convert to fraction form
    2,162.22/3,242.79 = 862.98/x
  3. Step 3: Cross multiply
    2,162.22x = 3,242.79 × 862.98
  4. Step 4: Simplify right side
    2,162.22x = 2,798,462.91
  5. Step 5: Solve for x
    x = 2,798,462.91/2,162.22
  6. Step 6: Final answer
    x = 1,294.25

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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.