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Finding the Fourth Proportional to 1,531.76, 2,294.42 and 1,271.16

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Solution

The fourth proportional to 1,531.76, 2,294.42 and 1,271.16 is: 1,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.76 : 2,294.42 = 1,271.16 : x
  2. Step 2: Convert to fraction form
    1,531.76/2,294.42 = 1,271.16/x
  3. Step 3: Cross multiply
    1,531.76x = 2,294.42 × 1,271.16
  4. Step 4: Simplify right side
    1,531.76x = 2,916,568.57
  5. Step 5: Solve for x
    x = 2,916,568.57/1,531.76
  6. Step 6: Final answer
    x = 1,904.07

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