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Finding the Fourth Proportional to 1,461.78, 2,192.67 and 595.86

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Solution

The fourth proportional to 1,461.78, 2,192.67 and 595.86 is: 893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.78 : 2,192.67 = 595.86 : x
  2. Step 2: Convert to fraction form
    1,461.78/2,192.67 = 595.86/x
  3. Step 3: Cross multiply
    1,461.78x = 2,192.67 × 595.86
  4. Step 4: Simplify right side
    1,461.78x = 1,306,524.35
  5. Step 5: Solve for x
    x = 1,306,524.35/1,461.78
  6. Step 6: Final answer
    x = 893.79

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