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Finding the Fourth Proportional to 3,349.97, 5,024.87 and 884.81

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Solution

The fourth proportional to 3,349.97, 5,024.87 and 884.81 is: 1,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.97 : 5,024.87 = 884.81 : x
  2. Step 2: Convert to fraction form
    3,349.97/5,024.87 = 884.81/x
  3. Step 3: Cross multiply
    3,349.97x = 5,024.87 × 884.81
  4. Step 4: Simplify right side
    3,349.97x = 4,446,076.45
  5. Step 5: Solve for x
    x = 4,446,076.45/3,349.97
  6. Step 6: Final answer
    x = 1,327.20

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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.