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Finding the Fourth Proportional to 2,294.30, 3,440.96 and 650.40

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Solution

The fourth proportional to 2,294.30, 3,440.96 and 650.40 is: 975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.30 : 3,440.96 = 650.40 : x
  2. Step 2: Convert to fraction form
    2,294.30/3,440.96 = 650.40/x
  3. Step 3: Cross multiply
    2,294.30x = 3,440.96 × 650.40
  4. Step 4: Simplify right side
    2,294.30x = 2,237,997.13
  5. Step 5: Solve for x
    x = 2,237,997.13/2,294.30
  6. Step 6: Final answer
    x = 975.46

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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.