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Finding the Fourth Proportional to 1,831.31, 2,527.35 and 1,132.82

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Solution

The fourth proportional to 1,831.31, 2,527.35 and 1,132.82 is: 1,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.31 : 2,527.35 = 1,132.82 : x
  2. Step 2: Convert to fraction form
    1,831.31/2,527.35 = 1,132.82/x
  3. Step 3: Cross multiply
    1,831.31x = 2,527.35 × 1,132.82
  4. Step 4: Simplify right side
    1,831.31x = 2,863,034.70
  5. Step 5: Solve for x
    x = 2,863,034.70/1,831.31
  6. Step 6: Final answer
    x = 1,563.38

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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.