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Finding the Fourth Proportional to 1,569.75, 2,356.14 and 1,154.55

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Solution

The fourth proportional to 1,569.75, 2,356.14 and 1,154.55 is: 1,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.75 : 2,356.14 = 1,154.55 : x
  2. Step 2: Convert to fraction form
    1,569.75/2,356.14 = 1,154.55/x
  3. Step 3: Cross multiply
    1,569.75x = 2,356.14 × 1,154.55
  4. Step 4: Simplify right side
    1,569.75x = 2,720,281.44
  5. Step 5: Solve for x
    x = 2,720,281.44/1,569.75
  6. Step 6: Final answer
    x = 1,732.94

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