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Finding the Fourth Proportional to 2,422.72, 3,342.49 and 1,427.77

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Solution

The fourth proportional to 2,422.72, 3,342.49 and 1,427.77 is: 1,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.72 : 3,342.49 = 1,427.77 : x
  2. Step 2: Convert to fraction form
    2,422.72/3,342.49 = 1,427.77/x
  3. Step 3: Cross multiply
    2,422.72x = 3,342.49 × 1,427.77
  4. Step 4: Simplify right side
    2,422.72x = 4,772,306.95
  5. Step 5: Solve for x
    x = 4,772,306.95/2,422.72
  6. Step 6: Final answer
    x = 1,969.81

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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.