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Finding the Fourth Proportional to 2,019.82, 3,030.94 and 865.57

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Solution

The fourth proportional to 2,019.82, 3,030.94 and 865.57 is: 1,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.82 : 3,030.94 = 865.57 : x
  2. Step 2: Convert to fraction form
    2,019.82/3,030.94 = 865.57/x
  3. Step 3: Cross multiply
    2,019.82x = 3,030.94 × 865.57
  4. Step 4: Simplify right side
    2,019.82x = 2,623,471.25
  5. Step 5: Solve for x
    x = 2,623,471.25/2,019.82
  6. Step 6: Final answer
    x = 1,298.87

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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.