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Finding the Fourth Proportional to 2,723.84, 4,083.48 and 2,260.32

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Solution

The fourth proportional to 2,723.84, 4,083.48 and 2,260.32 is: 3,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.84 : 4,083.48 = 2,260.32 : x
  2. Step 2: Convert to fraction form
    2,723.84/4,083.48 = 2,260.32/x
  3. Step 3: Cross multiply
    2,723.84x = 4,083.48 × 2,260.32
  4. Step 4: Simplify right side
    2,723.84x = 9,229,971.51
  5. Step 5: Solve for x
    x = 9,229,971.51/2,723.84
  6. Step 6: Final answer
    x = 3,388.59

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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.