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Finding the Fourth Proportional to 2,424.24, 3,636.36 and 884.88

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Solution

The fourth proportional to 2,424.24, 3,636.36 and 884.88 is: 1,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.24 : 3,636.36 = 884.88 : x
  2. Step 2: Convert to fraction form
    2,424.24/3,636.36 = 884.88/x
  3. Step 3: Cross multiply
    2,424.24x = 3,636.36 × 884.88
  4. Step 4: Simplify right side
    2,424.24x = 3,217,742.24
  5. Step 5: Solve for x
    x = 3,217,742.24/2,424.24
  6. Step 6: Final answer
    x = 1,327.32

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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.