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Finding the Fourth Proportional to 2,797.34, 3,860.87 and 1,618.48

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Solution

The fourth proportional to 2,797.34, 3,860.87 and 1,618.48 is: 2,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.34 : 3,860.87 = 1,618.48 : x
  2. Step 2: Convert to fraction form
    2,797.34/3,860.87 = 1,618.48/x
  3. Step 3: Cross multiply
    2,797.34x = 3,860.87 × 1,618.48
  4. Step 4: Simplify right side
    2,797.34x = 6,248,737.61
  5. Step 5: Solve for x
    x = 6,248,737.61/2,797.34
  6. Step 6: Final answer
    x = 2,233.82

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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.