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Finding the Fourth Proportional to 2,294.54, 3,441.84 and 651.14

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Solution

The fourth proportional to 2,294.54, 3,441.84 and 651.14 is: 976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.54 : 3,441.84 = 651.14 : x
  2. Step 2: Convert to fraction form
    2,294.54/3,441.84 = 651.14/x
  3. Step 3: Cross multiply
    2,294.54x = 3,441.84 × 651.14
  4. Step 4: Simplify right side
    2,294.54x = 2,241,119.70
  5. Step 5: Solve for x
    x = 2,241,119.70/2,294.54
  6. Step 6: Final answer
    x = 976.72

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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.