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Finding the Fourth Proportional to 2,304.87, 3,180.99 and 1,310.30

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Solution

The fourth proportional to 2,304.87, 3,180.99 and 1,310.30 is: 1,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.87 : 3,180.99 = 1,310.30 : x
  2. Step 2: Convert to fraction form
    2,304.87/3,180.99 = 1,310.30/x
  3. Step 3: Cross multiply
    2,304.87x = 3,180.99 × 1,310.30
  4. Step 4: Simplify right side
    2,304.87x = 4,168,035.29
  5. Step 5: Solve for x
    x = 4,168,035.29/2,304.87
  6. Step 6: Final answer
    x = 1,808.36

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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.