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Finding the Fourth Proportional to 2,433.12, 3,642.14 and 1,967.01

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Solution

The fourth proportional to 2,433.12, 3,642.14 and 1,967.01 is: 2,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.12 : 3,642.14 = 1,967.01 : x
  2. Step 2: Convert to fraction form
    2,433.12/3,642.14 = 1,967.01/x
  3. Step 3: Cross multiply
    2,433.12x = 3,642.14 × 1,967.01
  4. Step 4: Simplify right side
    2,433.12x = 7,164,115.97
  5. Step 5: Solve for x
    x = 7,164,115.97/2,433.12
  6. Step 6: Final answer
    x = 2,944.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.