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Finding the Fourth Proportional to 2,294.42, 3,441.67 and 650.93

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Solution

The fourth proportional to 2,294.42, 3,441.67 and 650.93 is: 976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.42 : 3,441.67 = 650.93 : x
  2. Step 2: Convert to fraction form
    2,294.42/3,441.67 = 650.93/x
  3. Step 3: Cross multiply
    2,294.42x = 3,441.67 × 650.93
  4. Step 4: Simplify right side
    2,294.42x = 2,240,267.42
  5. Step 5: Solve for x
    x = 2,240,267.42/2,294.42
  6. Step 6: Final answer
    x = 976.40

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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.