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Finding the Fourth Proportional to 2,282.86, 3,421.86 and 1,306.90

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Solution

The fourth proportional to 2,282.86, 3,421.86 and 1,306.90 is: 1,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.86 : 3,421.86 = 1,306.90 : x
  2. Step 2: Convert to fraction form
    2,282.86/3,421.86 = 1,306.90/x
  3. Step 3: Cross multiply
    2,282.86x = 3,421.86 × 1,306.90
  4. Step 4: Simplify right side
    2,282.86x = 4,472,028.83
  5. Step 5: Solve for x
    x = 4,472,028.83/2,282.86
  6. Step 6: Final answer
    x = 1,958.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.