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Finding the Fourth Proportional to 3,002.82, 4,504.26 and 922.79

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Solution

The fourth proportional to 3,002.82, 4,504.26 and 922.79 is: 1,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.82 : 4,504.26 = 922.79 : x
  2. Step 2: Convert to fraction form
    3,002.82/4,504.26 = 922.79/x
  3. Step 3: Cross multiply
    3,002.82x = 4,504.26 × 922.79
  4. Step 4: Simplify right side
    3,002.82x = 4,156,495.62
  5. Step 5: Solve for x
    x = 4,156,495.62/3,002.82
  6. Step 6: Final answer
    x = 1,384.20

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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.