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Finding the Fourth Proportional to 1,870.62, 2,807.82 and 1,686.75

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Solution

The fourth proportional to 1,870.62, 2,807.82 and 1,686.75 is: 2,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.62 : 2,807.82 = 1,686.75 : x
  2. Step 2: Convert to fraction form
    1,870.62/2,807.82 = 1,686.75/x
  3. Step 3: Cross multiply
    1,870.62x = 2,807.82 × 1,686.75
  4. Step 4: Simplify right side
    1,870.62x = 4,736,090.39
  5. Step 5: Solve for x
    x = 4,736,090.39/1,870.62
  6. Step 6: Final answer
    x = 2,531.83

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