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Finding the Fourth Proportional to 2,452.15, 3,678.67 and 808.76

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Solution

The fourth proportional to 2,452.15, 3,678.67 and 808.76 is: 1,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.15 : 3,678.67 = 808.76 : x
  2. Step 2: Convert to fraction form
    2,452.15/3,678.67 = 808.76/x
  3. Step 3: Cross multiply
    2,452.15x = 3,678.67 × 808.76
  4. Step 4: Simplify right side
    2,452.15x = 2,975,142.76
  5. Step 5: Solve for x
    x = 2,975,142.76/2,452.15
  6. Step 6: Final answer
    x = 1,213.28

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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.