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Finding the Fourth Proportional to 2,452.77, 3,679.13 and 1,153.32

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Solution

The fourth proportional to 2,452.77, 3,679.13 and 1,153.32 is: 1,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.77 : 3,679.13 = 1,153.32 : x
  2. Step 2: Convert to fraction form
    2,452.77/3,679.13 = 1,153.32/x
  3. Step 3: Cross multiply
    2,452.77x = 3,679.13 × 1,153.32
  4. Step 4: Simplify right side
    2,452.77x = 4,243,208.45
  5. Step 5: Solve for x
    x = 4,243,208.45/2,452.77
  6. Step 6: Final answer
    x = 1,729.97

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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.