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Finding the Fourth Proportional to 2,530.62, 3,793.05 and 1,229.10

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Solution

The fourth proportional to 2,530.62, 3,793.05 and 1,229.10 is: 1,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.62 : 3,793.05 = 1,229.10 : x
  2. Step 2: Convert to fraction form
    2,530.62/3,793.05 = 1,229.10/x
  3. Step 3: Cross multiply
    2,530.62x = 3,793.05 × 1,229.10
  4. Step 4: Simplify right side
    2,530.62x = 4,662,037.76
  5. Step 5: Solve for x
    x = 4,662,037.76/2,530.62
  6. Step 6: Final answer
    x = 1,842.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.