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Finding the Fourth Proportional to 3,302.64, 4,949.64 and 1,454.22

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Solution

The fourth proportional to 3,302.64, 4,949.64 and 1,454.22 is: 2,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.64 : 4,949.64 = 1,454.22 : x
  2. Step 2: Convert to fraction form
    3,302.64/4,949.64 = 1,454.22/x
  3. Step 3: Cross multiply
    3,302.64x = 4,949.64 × 1,454.22
  4. Step 4: Simplify right side
    3,302.64x = 7,197,865.48
  5. Step 5: Solve for x
    x = 7,197,865.48/3,302.64
  6. Step 6: Final answer
    x = 2,179.43

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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.