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Finding the Fourth Proportional to 2,140.53, 3,209.42 and 1,585.58

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Solution

The fourth proportional to 2,140.53, 3,209.42 and 1,585.58 is: 2,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.53 : 3,209.42 = 1,585.58 : x
  2. Step 2: Convert to fraction form
    2,140.53/3,209.42 = 1,585.58/x
  3. Step 3: Cross multiply
    2,140.53x = 3,209.42 × 1,585.58
  4. Step 4: Simplify right side
    2,140.53x = 5,088,780.08
  5. Step 5: Solve for x
    x = 5,088,780.08/2,140.53
  6. Step 6: Final answer
    x = 2,377.35

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