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Finding the Fourth Proportional to 2,217.02, 3,324.54 and 656.51

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Solution

The fourth proportional to 2,217.02, 3,324.54 and 656.51 is: 984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.02 : 3,324.54 = 656.51 : x
  2. Step 2: Convert to fraction form
    2,217.02/3,324.54 = 656.51/x
  3. Step 3: Cross multiply
    2,217.02x = 3,324.54 × 656.51
  4. Step 4: Simplify right side
    2,217.02x = 2,182,579.59
  5. Step 5: Solve for x
    x = 2,182,579.59/2,217.02
  6. Step 6: Final answer
    x = 984.47

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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.