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Finding the Fourth Proportional to 2,294.29, 3,442.65 and 996.67

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Solution

The fourth proportional to 2,294.29, 3,442.65 and 996.67 is: 1,495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.29 : 3,442.65 = 996.67 : x
  2. Step 2: Convert to fraction form
    2,294.29/3,442.65 = 996.67/x
  3. Step 3: Cross multiply
    2,294.29x = 3,442.65 × 996.67
  4. Step 4: Simplify right side
    2,294.29x = 3,431,185.98
  5. Step 5: Solve for x
    x = 3,431,185.98/2,294.29
  6. Step 6: Final answer
    x = 1,495.53

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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.