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Finding the Fourth Proportional to 2,299.49, 3,173.13 and 1,304.78

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Solution

The fourth proportional to 2,299.49, 3,173.13 and 1,304.78 is: 1,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.49 : 3,173.13 = 1,304.78 : x
  2. Step 2: Convert to fraction form
    2,299.49/3,173.13 = 1,304.78/x
  3. Step 3: Cross multiply
    2,299.49x = 3,173.13 × 1,304.78
  4. Step 4: Simplify right side
    2,299.49x = 4,140,244.49
  5. Step 5: Solve for x
    x = 4,140,244.49/2,299.49
  6. Step 6: Final answer
    x = 1,800.51

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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.