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Finding the Fourth Proportional to 2,293.88, 3,440.96 and 650.28

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Solution

The fourth proportional to 2,293.88, 3,440.96 and 650.28 is: 975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.88 : 3,440.96 = 650.28 : x
  2. Step 2: Convert to fraction form
    2,293.88/3,440.96 = 650.28/x
  3. Step 3: Cross multiply
    2,293.88x = 3,440.96 × 650.28
  4. Step 4: Simplify right side
    2,293.88x = 2,237,584.22
  5. Step 5: Solve for x
    x = 2,237,584.22/2,293.88
  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.