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Finding the Fourth Proportional to 2,698.85, 4,044.62 and 1,401.23

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Solution

The fourth proportional to 2,698.85, 4,044.62 and 1,401.23 is: 2,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.85 : 4,044.62 = 1,401.23 : x
  2. Step 2: Convert to fraction form
    2,698.85/4,044.62 = 1,401.23/x
  3. Step 3: Cross multiply
    2,698.85x = 4,044.62 × 1,401.23
  4. Step 4: Simplify right side
    2,698.85x = 5,667,426.16
  5. Step 5: Solve for x
    x = 5,667,426.16/2,698.85
  6. Step 6: Final answer
    x = 2,099.95

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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.