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Finding the Fourth Proportional to 1,727.76, 2,592.15 and 803.86

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Solution

The fourth proportional to 1,727.76, 2,592.15 and 803.86 is: 1,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.76 : 2,592.15 = 803.86 : x
  2. Step 2: Convert to fraction form
    1,727.76/2,592.15 = 803.86/x
  3. Step 3: Cross multiply
    1,727.76x = 2,592.15 × 803.86
  4. Step 4: Simplify right side
    1,727.76x = 2,083,731.66
  5. Step 5: Solve for x
    x = 2,083,731.66/1,727.76
  6. Step 6: Final answer
    x = 1,206.03

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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.