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Finding the Fourth Proportional to 2,433, 3,666.07 and 2,167.80

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Solution

The fourth proportional to 2,433, 3,666.07 and 2,167.80 is: 3,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433 : 3,666.07 = 2,167.80 : x
  2. Step 2: Convert to fraction form
    2,433/3,666.07 = 2,167.80/x
  3. Step 3: Cross multiply
    2,433x = 3,666.07 × 2,167.80
  4. Step 4: Simplify right side
    2,433x = 7,947,306.55
  5. Step 5: Solve for x
    x = 7,947,306.55/2,433
  6. Step 6: Final answer
    x = 3,266.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.