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Finding the Fourth Proportional to 1,915.64, 2,644.10 and 1,169.88

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Solution

The fourth proportional to 1,915.64, 2,644.10 and 1,169.88 is: 1,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.64 : 2,644.10 = 1,169.88 : x
  2. Step 2: Convert to fraction form
    1,915.64/2,644.10 = 1,169.88/x
  3. Step 3: Cross multiply
    1,915.64x = 2,644.10 × 1,169.88
  4. Step 4: Simplify right side
    1,915.64x = 3,093,273.86
  5. Step 5: Solve for x
    x = 3,093,273.86/1,915.64
  6. Step 6: Final answer
    x = 1,614.75

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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.