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Finding the Fourth Proportional to 2,013.85, 3,019.56 and 919.14

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Solution

The fourth proportional to 2,013.85, 3,019.56 and 919.14 is: 1,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.85 : 3,019.56 = 919.14 : x
  2. Step 2: Convert to fraction form
    2,013.85/3,019.56 = 919.14/x
  3. Step 3: Cross multiply
    2,013.85x = 3,019.56 × 919.14
  4. Step 4: Simplify right side
    2,013.85x = 2,775,398.38
  5. Step 5: Solve for x
    x = 2,775,398.38/2,013.85
  6. Step 6: Final answer
    x = 1,378.16

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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.