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Finding the Fourth Proportional to 2,851.54, 3,932.49 and 2,188.42

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Solution

The fourth proportional to 2,851.54, 3,932.49 and 2,188.42 is: 3,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.54 : 3,932.49 = 2,188.42 : x
  2. Step 2: Convert to fraction form
    2,851.54/3,932.49 = 2,188.42/x
  3. Step 3: Cross multiply
    2,851.54x = 3,932.49 × 2,188.42
  4. Step 4: Simplify right side
    2,851.54x = 8,605,939.77
  5. Step 5: Solve for x
    x = 8,605,939.77/2,851.54
  6. Step 6: Final answer
    x = 3,018.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.