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Finding the Fourth Proportional to 2,509.38, 3,765.69 and 1,049.58

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Solution

The fourth proportional to 2,509.38, 3,765.69 and 1,049.58 is: 1,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.38 : 3,765.69 = 1,049.58 : x
  2. Step 2: Convert to fraction form
    2,509.38/3,765.69 = 1,049.58/x
  3. Step 3: Cross multiply
    2,509.38x = 3,765.69 × 1,049.58
  4. Step 4: Simplify right side
    2,509.38x = 3,952,392.91
  5. Step 5: Solve for x
    x = 3,952,392.91/2,509.38
  6. Step 6: Final answer
    x = 1,575.05

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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.