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Finding the Fourth Proportional to 2,808.90, 4,212.12 and 959.52

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Solution

The fourth proportional to 2,808.90, 4,212.12 and 959.52 is: 1,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.90 : 4,212.12 = 959.52 : x
  2. Step 2: Convert to fraction form
    2,808.90/4,212.12 = 959.52/x
  3. Step 3: Cross multiply
    2,808.90x = 4,212.12 × 959.52
  4. Step 4: Simplify right side
    2,808.90x = 4,041,613.38
  5. Step 5: Solve for x
    x = 4,041,613.38/2,808.90
  6. Step 6: Final answer
    x = 1,438.86

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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.