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Finding the Fourth Proportional to 2,530.38, 3,794.45 and 886.42

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Solution

The fourth proportional to 2,530.38, 3,794.45 and 886.42 is: 1,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.38 : 3,794.45 = 886.42 : x
  2. Step 2: Convert to fraction form
    2,530.38/3,794.45 = 886.42/x
  3. Step 3: Cross multiply
    2,530.38x = 3,794.45 × 886.42
  4. Step 4: Simplify right side
    2,530.38x = 3,363,476.37
  5. Step 5: Solve for x
    x = 3,363,476.37/2,530.38
  6. Step 6: Final answer
    x = 1,329.24

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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.