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Finding the Fourth Proportional to 3,294.58, 4,941.43 and 922.83

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Solution

The fourth proportional to 3,294.58, 4,941.43 and 922.83 is: 1,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.58 : 4,941.43 = 922.83 : x
  2. Step 2: Convert to fraction form
    3,294.58/4,941.43 = 922.83/x
  3. Step 3: Cross multiply
    3,294.58x = 4,941.43 × 922.83
  4. Step 4: Simplify right side
    3,294.58x = 4,560,099.85
  5. Step 5: Solve for x
    x = 4,560,099.85/3,294.58
  6. Step 6: Final answer
    x = 1,384.12

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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.