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Finding the Fourth Proportional to 1,787.02, 2,678.10 and 1,785.40

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Solution

The fourth proportional to 1,787.02, 2,678.10 and 1,785.40 is: 2,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.02 : 2,678.10 = 1,785.40 : x
  2. Step 2: Convert to fraction form
    1,787.02/2,678.10 = 1,785.40/x
  3. Step 3: Cross multiply
    1,787.02x = 2,678.10 × 1,785.40
  4. Step 4: Simplify right side
    1,787.02x = 4,781,479.74
  5. Step 5: Solve for x
    x = 4,781,479.74/1,787.02
  6. Step 6: Final answer
    x = 2,675.67

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