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Finding the Fourth Proportional to 2,856.99, 4,279.05 and 1,538.40

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Solution

The fourth proportional to 2,856.99, 4,279.05 and 1,538.40 is: 2,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.99 : 4,279.05 = 1,538.40 : x
  2. Step 2: Convert to fraction form
    2,856.99/4,279.05 = 1,538.40/x
  3. Step 3: Cross multiply
    2,856.99x = 4,279.05 × 1,538.40
  4. Step 4: Simplify right side
    2,856.99x = 6,582,890.52
  5. Step 5: Solve for x
    x = 6,582,890.52/2,856.99
  6. Step 6: Final answer
    x = 2,304.13

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