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Finding the Fourth Proportional to 2,299.54, 3,173.14 and 1,304.90

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Solution

The fourth proportional to 2,299.54, 3,173.14 and 1,304.90 is: 1,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.54 : 3,173.14 = 1,304.90 : x
  2. Step 2: Convert to fraction form
    2,299.54/3,173.14 = 1,304.90/x
  3. Step 3: Cross multiply
    2,299.54x = 3,173.14 × 1,304.90
  4. Step 4: Simplify right side
    2,299.54x = 4,140,630.39
  5. Step 5: Solve for x
    x = 4,140,630.39/2,299.54
  6. Step 6: Final answer
    x = 1,800.63

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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.