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Finding the Fourth Proportional to 3,087.86, 4,260.56 and 1,828.28

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Solution

The fourth proportional to 3,087.86, 4,260.56 and 1,828.28 is: 2,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.86 : 4,260.56 = 1,828.28 : x
  2. Step 2: Convert to fraction form
    3,087.86/4,260.56 = 1,828.28/x
  3. Step 3: Cross multiply
    3,087.86x = 4,260.56 × 1,828.28
  4. Step 4: Simplify right side
    3,087.86x = 7,789,496.64
  5. Step 5: Solve for x
    x = 7,789,496.64/3,087.86
  6. Step 6: Final answer
    x = 2,522.62

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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.