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Finding the Fourth Proportional to 2,724, 4,087.55 and 2,267.31

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Solution

The fourth proportional to 2,724, 4,087.55 and 2,267.31 is: 3,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724 : 4,087.55 = 2,267.31 : x
  2. Step 2: Convert to fraction form
    2,724/4,087.55 = 2,267.31/x
  3. Step 3: Cross multiply
    2,724x = 4,087.55 × 2,267.31
  4. Step 4: Simplify right side
    2,724x = 9,267,742.99
  5. Step 5: Solve for x
    x = 9,267,742.99/2,724
  6. Step 6: Final answer
    x = 3,402.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.