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Finding the Fourth Proportional to 2,596.08, 3,890.52 and 2,045.76

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Solution

The fourth proportional to 2,596.08, 3,890.52 and 2,045.76 is: 3,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.08 : 3,890.52 = 2,045.76 : x
  2. Step 2: Convert to fraction form
    2,596.08/3,890.52 = 2,045.76/x
  3. Step 3: Cross multiply
    2,596.08x = 3,890.52 × 2,045.76
  4. Step 4: Simplify right side
    2,596.08x = 7,959,070.20
  5. Step 5: Solve for x
    x = 7,959,070.20/2,596.08
  6. Step 6: Final answer
    x = 3,065.80

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