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Finding the Fourth Proportional to 2,787.52, 3,847.14 and 1,831.26

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Solution

The fourth proportional to 2,787.52, 3,847.14 and 1,831.26 is: 2,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.52 : 3,847.14 = 1,831.26 : x
  2. Step 2: Convert to fraction form
    2,787.52/3,847.14 = 1,831.26/x
  3. Step 3: Cross multiply
    2,787.52x = 3,847.14 × 1,831.26
  4. Step 4: Simplify right side
    2,787.52x = 7,045,113.60
  5. Step 5: Solve for x
    x = 7,045,113.60/2,787.52
  6. Step 6: Final answer
    x = 2,527.38

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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.