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Finding the Fourth Proportional to 2,290.72, 3,431.76 and 2,200

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Solution

The fourth proportional to 2,290.72, 3,431.76 and 2,200 is: 3,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.72 : 3,431.76 = 2,200 : x
  2. Step 2: Convert to fraction form
    2,290.72/3,431.76 = 2,200/x
  3. Step 3: Cross multiply
    2,290.72x = 3,431.76 × 2,200
  4. Step 4: Simplify right side
    2,290.72x = 7,549,872.00
  5. Step 5: Solve for x
    x = 7,549,872.00/2,290.72
  6. Step 6: Final answer
    x = 3,295.85

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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.