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Finding the Fourth Proportional to 2,294.22, 3,440.31 and 650.39

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Solution

The fourth proportional to 2,294.22, 3,440.31 and 650.39 is: 975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.22 : 3,440.31 = 650.39 : x
  2. Step 2: Convert to fraction form
    2,294.22/3,440.31 = 650.39/x
  3. Step 3: Cross multiply
    2,294.22x = 3,440.31 × 650.39
  4. Step 4: Simplify right side
    2,294.22x = 2,237,543.22
  5. Step 5: Solve for x
    x = 2,237,543.22/2,294.22
  6. Step 6: Final answer
    x = 975.30

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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.