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Finding the Fourth Proportional to 2,949.50, 4,423.56 and 869.64

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Solution

The fourth proportional to 2,949.50, 4,423.56 and 869.64 is: 1,304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.50 : 4,423.56 = 869.64 : x
  2. Step 2: Convert to fraction form
    2,949.50/4,423.56 = 869.64/x
  3. Step 3: Cross multiply
    2,949.50x = 4,423.56 × 869.64
  4. Step 4: Simplify right side
    2,949.50x = 3,846,904.72
  5. Step 5: Solve for x
    x = 3,846,904.72/2,949.50
  6. Step 6: Final answer
    x = 1,304.26

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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.