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Finding the Fourth Proportional to 2,967.12, 4,093.32 and 1,832.40

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Solution

The fourth proportional to 2,967.12, 4,093.32 and 1,832.40 is: 2,527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.12 : 4,093.32 = 1,832.40 : x
  2. Step 2: Convert to fraction form
    2,967.12/4,093.32 = 1,832.40/x
  3. Step 3: Cross multiply
    2,967.12x = 4,093.32 × 1,832.40
  4. Step 4: Simplify right side
    2,967.12x = 7,500,599.57
  5. Step 5: Solve for x
    x = 7,500,599.57/2,967.12
  6. Step 6: Final answer
    x = 2,527.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.