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Finding the Fourth Proportional to 2,260.22, 3,389.12 and 699.56

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Solution

The fourth proportional to 2,260.22, 3,389.12 and 699.56 is: 1,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.22 : 3,389.12 = 699.56 : x
  2. Step 2: Convert to fraction form
    2,260.22/3,389.12 = 699.56/x
  3. Step 3: Cross multiply
    2,260.22x = 3,389.12 × 699.56
  4. Step 4: Simplify right side
    2,260.22x = 2,370,878.14
  5. Step 5: Solve for x
    x = 2,370,878.14/2,260.22
  6. Step 6: Final answer
    x = 1,048.96

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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.