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Finding the Fourth Proportional to 2,294.02, 3,440.58 and 650.17

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Solution

The fourth proportional to 2,294.02, 3,440.58 and 650.17 is: 975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.02 : 3,440.58 = 650.17 : x
  2. Step 2: Convert to fraction form
    2,294.02/3,440.58 = 650.17/x
  3. Step 3: Cross multiply
    2,294.02x = 3,440.58 × 650.17
  4. Step 4: Simplify right side
    2,294.02x = 2,236,961.90
  5. Step 5: Solve for x
    x = 2,236,961.90/2,294.02
  6. Step 6: Final answer
    x = 975.13

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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.