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Finding the Fourth Proportional to 2,397.10, 3,307.76 and 1,767.97

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Solution

The fourth proportional to 2,397.10, 3,307.76 and 1,767.97 is: 2,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.10 : 3,307.76 = 1,767.97 : x
  2. Step 2: Convert to fraction form
    2,397.10/3,307.76 = 1,767.97/x
  3. Step 3: Cross multiply
    2,397.10x = 3,307.76 × 1,767.97
  4. Step 4: Simplify right side
    2,397.10x = 5,848,003.91
  5. Step 5: Solve for x
    x = 5,848,003.91/2,397.10
  6. Step 6: Final answer
    x = 2,439.62

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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.