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Finding the Fourth Proportional to 2,808.01, 4,211.82 and 860.14

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Solution

The fourth proportional to 2,808.01, 4,211.82 and 860.14 is: 1,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.01 : 4,211.82 = 860.14 : x
  2. Step 2: Convert to fraction form
    2,808.01/4,211.82 = 860.14/x
  3. Step 3: Cross multiply
    2,808.01x = 4,211.82 × 860.14
  4. Step 4: Simplify right side
    2,808.01x = 3,622,754.85
  5. Step 5: Solve for x
    x = 3,622,754.85/2,808.01
  6. Step 6: Final answer
    x = 1,290.15

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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.