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Finding the Fourth Proportional to 2,015.92, 3,022.76 and 699.06

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Solution

The fourth proportional to 2,015.92, 3,022.76 and 699.06 is: 1,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.92 : 3,022.76 = 699.06 : x
  2. Step 2: Convert to fraction form
    2,015.92/3,022.76 = 699.06/x
  3. Step 3: Cross multiply
    2,015.92x = 3,022.76 × 699.06
  4. Step 4: Simplify right side
    2,015.92x = 2,113,090.61
  5. Step 5: Solve for x
    x = 2,113,090.61/2,015.92
  6. Step 6: Final answer
    x = 1,048.20

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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.