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Finding the Fourth Proportional to 2,306.72, 3,473.77 and 2,078.30

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Solution

The fourth proportional to 2,306.72, 3,473.77 and 2,078.30 is: 3,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.72 : 3,473.77 = 2,078.30 : x
  2. Step 2: Convert to fraction form
    2,306.72/3,473.77 = 2,078.30/x
  3. Step 3: Cross multiply
    2,306.72x = 3,473.77 × 2,078.30
  4. Step 4: Simplify right side
    2,306.72x = 7,219,525.80
  5. Step 5: Solve for x
    x = 7,219,525.80/2,306.72
  6. Step 6: Final answer
    x = 3,129.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.