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Finding the Fourth Proportional to 2,330.82, 3,494.07 and 868.86

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Solution

The fourth proportional to 2,330.82, 3,494.07 and 868.86 is: 1,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.82 : 3,494.07 = 868.86 : x
  2. Step 2: Convert to fraction form
    2,330.82/3,494.07 = 868.86/x
  3. Step 3: Cross multiply
    2,330.82x = 3,494.07 × 868.86
  4. Step 4: Simplify right side
    2,330.82x = 3,035,857.66
  5. Step 5: Solve for x
    x = 3,035,857.66/2,330.82
  6. Step 6: Final answer
    x = 1,302.48

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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.