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Finding the Fourth Proportional to 2,307.98, 3,462.57 and 664.49

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Solution

The fourth proportional to 2,307.98, 3,462.57 and 664.49 is: 996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.98 : 3,462.57 = 664.49 : x
  2. Step 2: Convert to fraction form
    2,307.98/3,462.57 = 664.49/x
  3. Step 3: Cross multiply
    2,307.98x = 3,462.57 × 664.49
  4. Step 4: Simplify right side
    2,307.98x = 2,300,825.83
  5. Step 5: Solve for x
    x = 2,300,825.83/2,307.98
  6. Step 6: Final answer
    x = 996.90

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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.