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Finding the Fourth Proportional to 2,969.46, 4,454.22 and 1,021.68

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Solution

The fourth proportional to 2,969.46, 4,454.22 and 1,021.68 is: 1,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.46 : 4,454.22 = 1,021.68 : x
  2. Step 2: Convert to fraction form
    2,969.46/4,454.22 = 1,021.68/x
  3. Step 3: Cross multiply
    2,969.46x = 4,454.22 × 1,021.68
  4. Step 4: Simplify right side
    2,969.46x = 4,550,787.49
  5. Step 5: Solve for x
    x = 4,550,787.49/2,969.46
  6. Step 6: Final answer
    x = 1,532.53

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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.