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Finding the Fourth Proportional to 2,452, 3,675.57 and 1,151.14

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Solution

The fourth proportional to 2,452, 3,675.57 and 1,151.14 is: 1,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452 : 3,675.57 = 1,151.14 : x
  2. Step 2: Convert to fraction form
    2,452/3,675.57 = 1,151.14/x
  3. Step 3: Cross multiply
    2,452x = 3,675.57 × 1,151.14
  4. Step 4: Simplify right side
    2,452x = 4,231,095.65
  5. Step 5: Solve for x
    x = 4,231,095.65/2,452
  6. Step 6: Final answer
    x = 1,725.57

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Why These Related Problems?

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