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Finding the Fourth Proportional to 3,244.64, 4,868.16 and 1,164.80

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Solution

The fourth proportional to 3,244.64, 4,868.16 and 1,164.80 is: 1,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.64 : 4,868.16 = 1,164.80 : x
  2. Step 2: Convert to fraction form
    3,244.64/4,868.16 = 1,164.80/x
  3. Step 3: Cross multiply
    3,244.64x = 4,868.16 × 1,164.80
  4. Step 4: Simplify right side
    3,244.64x = 5,670,432.77
  5. Step 5: Solve for x
    x = 5,670,432.77/3,244.64
  6. Step 6: Final answer
    x = 1,747.63

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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.