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Finding the Fourth Proportional to 2,452.96, 3,383.84 and 1,508

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Solution

The fourth proportional to 2,452.96, 3,383.84 and 1,508 is: 2,080.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.96 : 3,383.84 = 1,508 : x
  2. Step 2: Convert to fraction form
    2,452.96/3,383.84 = 1,508/x
  3. Step 3: Cross multiply
    2,452.96x = 3,383.84 × 1,508
  4. Step 4: Simplify right side
    2,452.96x = 5,102,830.72
  5. Step 5: Solve for x
    x = 5,102,830.72/2,452.96
  6. Step 6: Final answer
    x = 2,080.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.