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Finding the Fourth Proportional to 2,452.48, 3,678.72 and 991.64

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Solution

The fourth proportional to 2,452.48, 3,678.72 and 991.64 is: 1,487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.48 : 3,678.72 = 991.64 : x
  2. Step 2: Convert to fraction form
    2,452.48/3,678.72 = 991.64/x
  3. Step 3: Cross multiply
    2,452.48x = 3,678.72 × 991.64
  4. Step 4: Simplify right side
    2,452.48x = 3,647,971.38
  5. Step 5: Solve for x
    x = 3,647,971.38/2,452.48
  6. Step 6: Final answer
    x = 1,487.46

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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.