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Finding the Fourth Proportional to 2,870.86, 3,964.12 and 2,339.82

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Solution

The fourth proportional to 2,870.86, 3,964.12 and 2,339.82 is: 3,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.86 : 3,964.12 = 2,339.82 : x
  2. Step 2: Convert to fraction form
    2,870.86/3,964.12 = 2,339.82/x
  3. Step 3: Cross multiply
    2,870.86x = 3,964.12 × 2,339.82
  4. Step 4: Simplify right side
    2,870.86x = 9,275,327.26
  5. Step 5: Solve for x
    x = 9,275,327.26/2,870.86
  6. Step 6: Final answer
    x = 3,230.85

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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.