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Finding the Fourth Proportional to 3,060.89, 4,591.50 and 869.45

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Solution

The fourth proportional to 3,060.89, 4,591.50 and 869.45 is: 1,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,060.89 : 4,591.50 = 869.45 : x
  2. Step 2: Convert to fraction form
    3,060.89/4,591.50 = 869.45/x
  3. Step 3: Cross multiply
    3,060.89x = 4,591.50 × 869.45
  4. Step 4: Simplify right side
    3,060.89x = 3,992,056.72
  5. Step 5: Solve for x
    x = 3,992,056.72/3,060.89
  6. Step 6: Final answer
    x = 1,304.22

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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.