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Finding the Fourth Proportional to 2,530.80, 3,490.92 and 2,252.88

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Solution

The fourth proportional to 2,530.80, 3,490.92 and 2,252.88 is: 3,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.80 : 3,490.92 = 2,252.88 : x
  2. Step 2: Convert to fraction form
    2,530.80/3,490.92 = 2,252.88/x
  3. Step 3: Cross multiply
    2,530.80x = 3,490.92 × 2,252.88
  4. Step 4: Simplify right side
    2,530.80x = 7,864,623.85
  5. Step 5: Solve for x
    x = 7,864,623.85/2,530.80
  6. Step 6: Final answer
    x = 3,107.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.