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Finding the Fourth Proportional to 2,807.32, 4,211.34 and 859.18

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Solution

The fourth proportional to 2,807.32, 4,211.34 and 859.18 is: 1,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.32 : 4,211.34 = 859.18 : x
  2. Step 2: Convert to fraction form
    2,807.32/4,211.34 = 859.18/x
  3. Step 3: Cross multiply
    2,807.32x = 4,211.34 × 859.18
  4. Step 4: Simplify right side
    2,807.32x = 3,618,299.10
  5. Step 5: Solve for x
    x = 3,618,299.10/2,807.32
  6. Step 6: Final answer
    x = 1,288.88

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Why These Related Problems?

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