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Finding the Fourth Proportional to 1,861.78, 2,566.95 and 1,564.19

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Solution

The fourth proportional to 1,861.78, 2,566.95 and 1,564.19 is: 2,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.78 : 2,566.95 = 1,564.19 : x
  2. Step 2: Convert to fraction form
    1,861.78/2,566.95 = 1,564.19/x
  3. Step 3: Cross multiply
    1,861.78x = 2,566.95 × 1,564.19
  4. Step 4: Simplify right side
    1,861.78x = 4,015,197.52
  5. Step 5: Solve for x
    x = 4,015,197.52/1,861.78
  6. Step 6: Final answer
    x = 2,156.64

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