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Finding the Fourth Proportional to 2,452.34, 3,678.54 and 808.88

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Solution

The fourth proportional to 2,452.34, 3,678.54 and 808.88 is: 1,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.34 : 3,678.54 = 808.88 : x
  2. Step 2: Convert to fraction form
    2,452.34/3,678.54 = 808.88/x
  3. Step 3: Cross multiply
    2,452.34x = 3,678.54 × 808.88
  4. Step 4: Simplify right side
    2,452.34x = 2,975,497.44
  5. Step 5: Solve for x
    x = 2,975,497.44/2,452.34
  6. Step 6: Final answer
    x = 1,213.33

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1.5x scale

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.