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Finding the Fourth Proportional to 3,308.22, 4,961.52 and 968.16

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Solution

The fourth proportional to 3,308.22, 4,961.52 and 968.16 is: 1,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.22 : 4,961.52 = 968.16 : x
  2. Step 2: Convert to fraction form
    3,308.22/4,961.52 = 968.16/x
  3. Step 3: Cross multiply
    3,308.22x = 4,961.52 × 968.16
  4. Step 4: Simplify right side
    3,308.22x = 4,803,545.20
  5. Step 5: Solve for x
    x = 4,803,545.20/3,308.22
  6. Step 6: Final answer
    x = 1,452.00

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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.