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Finding the Fourth Proportional to 1,569.78, 2,167.00 and 1,150.15

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Solution

The fourth proportional to 1,569.78, 2,167.00 and 1,150.15 is: 1,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.78 : 2,167.00 = 1,150.15 : x
  2. Step 2: Convert to fraction form
    1,569.78/2,167.00 = 1,150.15/x
  3. Step 3: Cross multiply
    1,569.78x = 2,167.00 × 1,150.15
  4. Step 4: Simplify right side
    1,569.78x = 2,492,377.29
  5. Step 5: Solve for x
    x = 2,492,377.29/1,569.78
  6. Step 6: Final answer
    x = 1,587.72

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