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Finding the Fourth Proportional to 2,471.55, 3,707.19 and 827.93

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Solution

The fourth proportional to 2,471.55, 3,707.19 and 827.93 is: 1,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.55 : 3,707.19 = 827.93 : x
  2. Step 2: Convert to fraction form
    2,471.55/3,707.19 = 827.93/x
  3. Step 3: Cross multiply
    2,471.55x = 3,707.19 × 827.93
  4. Step 4: Simplify right side
    2,471.55x = 3,069,275.28
  5. Step 5: Solve for x
    x = 3,069,275.28/2,471.55
  6. Step 6: Final answer
    x = 1,241.84

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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.