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Finding the Fourth Proportional to 1,917.74, 2,877.71 and 748.55

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Solution

The fourth proportional to 1,917.74, 2,877.71 and 748.55 is: 1,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.74 : 2,877.71 = 748.55 : x
  2. Step 2: Convert to fraction form
    1,917.74/2,877.71 = 748.55/x
  3. Step 3: Cross multiply
    1,917.74x = 2,877.71 × 748.55
  4. Step 4: Simplify right side
    1,917.74x = 2,154,113.27
  5. Step 5: Solve for x
    x = 2,154,113.27/1,917.74
  6. Step 6: Final answer
    x = 1,123.25

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