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Finding the Fourth Proportional to 2,330.55, 3,494.92 and 868.91

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Solution

The fourth proportional to 2,330.55, 3,494.92 and 868.91 is: 1,303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.55 : 3,494.92 = 868.91 : x
  2. Step 2: Convert to fraction form
    2,330.55/3,494.92 = 868.91/x
  3. Step 3: Cross multiply
    2,330.55x = 3,494.92 × 868.91
  4. Step 4: Simplify right side
    2,330.55x = 3,036,770.94
  5. Step 5: Solve for x
    x = 3,036,770.94/2,330.55
  6. Step 6: Final answer
    x = 1,303.03

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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.