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Finding the Fourth Proportional to 2,932.74, 4,399.38 and 2,074.14

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Solution

The fourth proportional to 2,932.74, 4,399.38 and 2,074.14 is: 3,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.74 : 4,399.38 = 2,074.14 : x
  2. Step 2: Convert to fraction form
    2,932.74/4,399.38 = 2,074.14/x
  3. Step 3: Cross multiply
    2,932.74x = 4,399.38 × 2,074.14
  4. Step 4: Simplify right side
    2,932.74x = 9,124,930.03
  5. Step 5: Solve for x
    x = 9,124,930.03/2,932.74
  6. Step 6: Final answer
    x = 3,111.40

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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.