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Finding the Fourth Proportional to 2,294.36, 3,441.72 and 650.93

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Solution

The fourth proportional to 2,294.36, 3,441.72 and 650.93 is: 976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.36 : 3,441.72 = 650.93 : x
  2. Step 2: Convert to fraction form
    2,294.36/3,441.72 = 650.93/x
  3. Step 3: Cross multiply
    2,294.36x = 3,441.72 × 650.93
  4. Step 4: Simplify right side
    2,294.36x = 2,240,318.80
  5. Step 5: Solve for x
    x = 2,240,318.80/2,294.36
  6. Step 6: Final answer
    x = 976.45

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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.