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Finding the Fourth Proportional to 2,294.14, 3,440.77 and 650.29

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Solution

The fourth proportional to 2,294.14, 3,440.77 and 650.29 is: 975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.14 : 3,440.77 = 650.29 : x
  2. Step 2: Convert to fraction form
    2,294.14/3,440.77 = 650.29/x
  3. Step 3: Cross multiply
    2,294.14x = 3,440.77 × 650.29
  4. Step 4: Simplify right side
    2,294.14x = 2,237,498.32
  5. Step 5: Solve for x
    x = 2,237,498.32/2,294.14
  6. Step 6: Final answer
    x = 975.31

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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.