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Finding the Fourth Proportional to 2,874.72, 3,967.30 and 1,932.08

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Solution

The fourth proportional to 2,874.72, 3,967.30 and 1,932.08 is: 2,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.72 : 3,967.30 = 1,932.08 : x
  2. Step 2: Convert to fraction form
    2,874.72/3,967.30 = 1,932.08/x
  3. Step 3: Cross multiply
    2,874.72x = 3,967.30 × 1,932.08
  4. Step 4: Simplify right side
    2,874.72x = 7,665,140.98
  5. Step 5: Solve for x
    x = 7,665,140.98/2,874.72
  6. Step 6: Final answer
    x = 2,666.40

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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.