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Finding the Fourth Proportional to 1,569.85, 2,356.80 and 1,262.05

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Solution

The fourth proportional to 1,569.85, 2,356.80 and 1,262.05 is: 1,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.85 : 2,356.80 = 1,262.05 : x
  2. Step 2: Convert to fraction form
    1,569.85/2,356.80 = 1,262.05/x
  3. Step 3: Cross multiply
    1,569.85x = 2,356.80 × 1,262.05
  4. Step 4: Simplify right side
    1,569.85x = 2,974,399.44
  5. Step 5: Solve for x
    x = 2,974,399.44/1,569.85
  6. Step 6: Final answer
    x = 1,894.70

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