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Finding the Fourth Proportional to 2,726.64, 4,089.84 and 995.28

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Solution

The fourth proportional to 2,726.64, 4,089.84 and 995.28 is: 1,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.64 : 4,089.84 = 995.28 : x
  2. Step 2: Convert to fraction form
    2,726.64/4,089.84 = 995.28/x
  3. Step 3: Cross multiply
    2,726.64x = 4,089.84 × 995.28
  4. Step 4: Simplify right side
    2,726.64x = 4,070,535.96
  5. Step 5: Solve for x
    x = 4,070,535.96/2,726.64
  6. Step 6: Final answer
    x = 1,492.88

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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.