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Finding the Fourth Proportional to 2,452.30, 3,678.57 and 808.99

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Solution

The fourth proportional to 2,452.30, 3,678.57 and 808.99 is: 1,213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.30 : 3,678.57 = 808.99 : x
  2. Step 2: Convert to fraction form
    2,452.30/3,678.57 = 808.99/x
  3. Step 3: Cross multiply
    2,452.30x = 3,678.57 × 808.99
  4. Step 4: Simplify right side
    2,452.30x = 2,975,926.34
  5. Step 5: Solve for x
    x = 2,975,926.34/2,452.30
  6. Step 6: Final answer
    x = 1,213.52

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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.