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Finding the Fourth Proportional to 2,015.19, 3,023.17 and 698.89

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Solution

The fourth proportional to 2,015.19, 3,023.17 and 698.89 is: 1,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.19 : 3,023.17 = 698.89 : x
  2. Step 2: Convert to fraction form
    2,015.19/3,023.17 = 698.89/x
  3. Step 3: Cross multiply
    2,015.19x = 3,023.17 × 698.89
  4. Step 4: Simplify right side
    2,015.19x = 2,112,867.93
  5. Step 5: Solve for x
    x = 2,112,867.93/2,015.19
  6. Step 6: Final answer
    x = 1,048.47

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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.