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Finding the Fourth Proportional to 1,505.92, 2,255.68 and 1,488.64

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Solution

The fourth proportional to 1,505.92, 2,255.68 and 1,488.64 is: 2,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.92 : 2,255.68 = 1,488.64 : x
  2. Step 2: Convert to fraction form
    1,505.92/2,255.68 = 1,488.64/x
  3. Step 3: Cross multiply
    1,505.92x = 2,255.68 × 1,488.64
  4. Step 4: Simplify right side
    1,505.92x = 3,357,895.48
  5. Step 5: Solve for x
    x = 3,357,895.48/1,505.92
  6. Step 6: Final answer
    x = 2,229.80

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