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Finding the Fourth Proportional to 2,015.71, 3,023.94 and 699.40

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Solution

The fourth proportional to 2,015.71, 3,023.94 and 699.40 is: 1,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.71 : 3,023.94 = 699.40 : x
  2. Step 2: Convert to fraction form
    2,015.71/3,023.94 = 699.40/x
  3. Step 3: Cross multiply
    2,015.71x = 3,023.94 × 699.40
  4. Step 4: Simplify right side
    2,015.71x = 2,114,940.14
  5. Step 5: Solve for x
    x = 2,114,940.14/2,015.71
  6. Step 6: Final answer
    x = 1,049.23

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Why These Related Problems?

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