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Finding the Fourth Proportional to 2,271.90, 3,404.88 and 2,214.66

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Solution

The fourth proportional to 2,271.90, 3,404.88 and 2,214.66 is: 3,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.90 : 3,404.88 = 2,214.66 : x
  2. Step 2: Convert to fraction form
    2,271.90/3,404.88 = 2,214.66/x
  3. Step 3: Cross multiply
    2,271.90x = 3,404.88 × 2,214.66
  4. Step 4: Simplify right side
    2,271.90x = 7,540,651.54
  5. Step 5: Solve for x
    x = 7,540,651.54/2,271.90
  6. Step 6: Final answer
    x = 3,319.09

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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.