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Finding the Fourth Proportional to 2,875.73, 3,968.21 and 1,616.58

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Solution

The fourth proportional to 2,875.73, 3,968.21 and 1,616.58 is: 2,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.73 : 3,968.21 = 1,616.58 : x
  2. Step 2: Convert to fraction form
    2,875.73/3,968.21 = 1,616.58/x
  3. Step 3: Cross multiply
    2,875.73x = 3,968.21 × 1,616.58
  4. Step 4: Simplify right side
    2,875.73x = 6,414,932.96
  5. Step 5: Solve for x
    x = 6,414,932.96/2,875.73
  6. Step 6: Final answer
    x = 2,230.72

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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.