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Finding the Fourth Proportional to 3,302.70, 4,559.18 and 2,311.86

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Solution

The fourth proportional to 3,302.70, 4,559.18 and 2,311.86 is: 3,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.70 : 4,559.18 = 2,311.86 : x
  2. Step 2: Convert to fraction form
    3,302.70/4,559.18 = 2,311.86/x
  3. Step 3: Cross multiply
    3,302.70x = 4,559.18 × 2,311.86
  4. Step 4: Simplify right side
    3,302.70x = 10,540,191.41
  5. Step 5: Solve for x
    x = 10,540,191.41/3,302.70
  6. Step 6: Final answer
    x = 3,191.39

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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.