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Finding the Fourth Proportional to 2,294.44, 3,441.80 and 651.11

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Solution

The fourth proportional to 2,294.44, 3,441.80 and 651.11 is: 976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.44 : 3,441.80 = 651.11 : x
  2. Step 2: Convert to fraction form
    2,294.44/3,441.80 = 651.11/x
  3. Step 3: Cross multiply
    2,294.44x = 3,441.80 × 651.11
  4. Step 4: Simplify right side
    2,294.44x = 2,240,987.14
  5. Step 5: Solve for x
    x = 2,240,987.14/2,294.44
  6. Step 6: Final answer
    x = 976.71

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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.