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Finding the Fourth Proportional to 2,019.13, 3,029.10 and 1,401.10

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Solution

The fourth proportional to 2,019.13, 3,029.10 and 1,401.10 is: 2,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.13 : 3,029.10 = 1,401.10 : x
  2. Step 2: Convert to fraction form
    2,019.13/3,029.10 = 1,401.10/x
  3. Step 3: Cross multiply
    2,019.13x = 3,029.10 × 1,401.10
  4. Step 4: Simplify right side
    2,019.13x = 4,244,072.01
  5. Step 5: Solve for x
    x = 4,244,072.01/2,019.13
  6. Step 6: Final answer
    x = 2,101.93

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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.