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Finding the Fourth Proportional to 1,648.69, 2,472.76 and 1,160.26

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Solution

The fourth proportional to 1,648.69, 2,472.76 and 1,160.26 is: 1,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.69 : 2,472.76 = 1,160.26 : x
  2. Step 2: Convert to fraction form
    1,648.69/2,472.76 = 1,160.26/x
  3. Step 3: Cross multiply
    1,648.69x = 2,472.76 × 1,160.26
  4. Step 4: Simplify right side
    1,648.69x = 2,869,039.79
  5. Step 5: Solve for x
    x = 2,869,039.79/1,648.69
  6. Step 6: Final answer
    x = 1,740.20

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