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Finding the Fourth Proportional to 2,607.96, 3,891.72 and 2,331

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Solution

The fourth proportional to 2,607.96, 3,891.72 and 2,331 is: 3,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.96 : 3,891.72 = 2,331 : x
  2. Step 2: Convert to fraction form
    2,607.96/3,891.72 = 2,331/x
  3. Step 3: Cross multiply
    2,607.96x = 3,891.72 × 2,331
  4. Step 4: Simplify right side
    2,607.96x = 9,071,599.32
  5. Step 5: Solve for x
    x = 9,071,599.32/2,607.96
  6. Step 6: Final answer
    x = 3,478.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.