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Finding the Fourth Proportional to 1,784.87, 2,462.40 and 1,120.57

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Solution

The fourth proportional to 1,784.87, 2,462.40 and 1,120.57 is: 1,545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.87 : 2,462.40 = 1,120.57 : x
  2. Step 2: Convert to fraction form
    1,784.87/2,462.40 = 1,120.57/x
  3. Step 3: Cross multiply
    1,784.87x = 2,462.40 × 1,120.57
  4. Step 4: Simplify right side
    1,784.87x = 2,759,285.41
  5. Step 5: Solve for x
    x = 2,759,285.41/1,784.87
  6. Step 6: Final answer
    x = 1,545.93

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