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Finding the Fourth Proportional to 2,859.32, 4,289.85 and 1,215.83

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Solution

The fourth proportional to 2,859.32, 4,289.85 and 1,215.83 is: 1,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.32 : 4,289.85 = 1,215.83 : x
  2. Step 2: Convert to fraction form
    2,859.32/4,289.85 = 1,215.83/x
  3. Step 3: Cross multiply
    2,859.32x = 4,289.85 × 1,215.83
  4. Step 4: Simplify right side
    2,859.32x = 5,215,706.88
  5. Step 5: Solve for x
    x = 5,215,706.88/2,859.32
  6. Step 6: Final answer
    x = 1,824.11

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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.