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Finding the Fourth Proportional to 2,015.10, 3,023.19 and 844.47

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Solution

The fourth proportional to 2,015.10, 3,023.19 and 844.47 is: 1,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.10 : 3,023.19 = 844.47 : x
  2. Step 2: Convert to fraction form
    2,015.10/3,023.19 = 844.47/x
  3. Step 3: Cross multiply
    2,015.10x = 3,023.19 × 844.47
  4. Step 4: Simplify right side
    2,015.10x = 2,552,993.26
  5. Step 5: Solve for x
    x = 2,552,993.26/2,015.10
  6. Step 6: Final answer
    x = 1,266.93

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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.