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Finding the Fourth Proportional to 2,531.76, 3,792.76 and 1,432.76

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Solution

The fourth proportional to 2,531.76, 3,792.76 and 1,432.76 is: 2,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.76 : 3,792.76 = 1,432.76 : x
  2. Step 2: Convert to fraction form
    2,531.76/3,792.76 = 1,432.76/x
  3. Step 3: Cross multiply
    2,531.76x = 3,792.76 × 1,432.76
  4. Step 4: Simplify right side
    2,531.76x = 5,434,114.82
  5. Step 5: Solve for x
    x = 5,434,114.82/2,531.76
  6. Step 6: Final answer
    x = 2,146.38

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