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Finding the Fourth Proportional to 2,582.49, 3,874.28 and 1,349.57

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Solution

The fourth proportional to 2,582.49, 3,874.28 and 1,349.57 is: 2,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.49 : 3,874.28 = 1,349.57 : x
  2. Step 2: Convert to fraction form
    2,582.49/3,874.28 = 1,349.57/x
  3. Step 3: Cross multiply
    2,582.49x = 3,874.28 × 1,349.57
  4. Step 4: Simplify right side
    2,582.49x = 5,228,627.65
  5. Step 5: Solve for x
    x = 5,228,627.65/2,582.49
  6. Step 6: Final answer
    x = 2,024.64

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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.