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Finding the Fourth Proportional to 2,703.70, 4,049.88 and 1,401.22

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Solution

The fourth proportional to 2,703.70, 4,049.88 and 1,401.22 is: 2,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.70 : 4,049.88 = 1,401.22 : x
  2. Step 2: Convert to fraction form
    2,703.70/4,049.88 = 1,401.22/x
  3. Step 3: Cross multiply
    2,703.70x = 4,049.88 × 1,401.22
  4. Step 4: Simplify right side
    2,703.70x = 5,674,772.85
  5. Step 5: Solve for x
    x = 5,674,772.85/2,703.70
  6. Step 6: Final answer
    x = 2,098.89

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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.