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Finding the Fourth Proportional to 1,875.78, 2,589.06 and 1,787.76

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Solution

The fourth proportional to 1,875.78, 2,589.06 and 1,787.76 is: 2,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.78 : 2,589.06 = 1,787.76 : x
  2. Step 2: Convert to fraction form
    1,875.78/2,589.06 = 1,787.76/x
  3. Step 3: Cross multiply
    1,875.78x = 2,589.06 × 1,787.76
  4. Step 4: Simplify right side
    1,875.78x = 4,628,617.91
  5. Step 5: Solve for x
    x = 4,628,617.91/1,875.78
  6. Step 6: Final answer
    x = 2,467.57

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