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Finding the Fourth Proportional to 2,072.72, 2,863.08 and 1,547.84

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Solution

The fourth proportional to 2,072.72, 2,863.08 and 1,547.84 is: 2,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.72 : 2,863.08 = 1,547.84 : x
  2. Step 2: Convert to fraction form
    2,072.72/2,863.08 = 1,547.84/x
  3. Step 3: Cross multiply
    2,072.72x = 2,863.08 × 1,547.84
  4. Step 4: Simplify right side
    2,072.72x = 4,431,589.75
  5. Step 5: Solve for x
    x = 4,431,589.75/2,072.72
  6. Step 6: Final answer
    x = 2,138.06

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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.