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Finding the Fourth Proportional to 2,307.90, 3,462.01 and 664.46

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Solution

The fourth proportional to 2,307.90, 3,462.01 and 664.46 is: 996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.90 : 3,462.01 = 664.46 : x
  2. Step 2: Convert to fraction form
    2,307.90/3,462.01 = 664.46/x
  3. Step 3: Cross multiply
    2,307.90x = 3,462.01 × 664.46
  4. Step 4: Simplify right side
    2,307.90x = 2,300,367.16
  5. Step 5: Solve for x
    x = 2,300,367.16/2,307.90
  6. Step 6: Final answer
    x = 996.74

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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.