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Finding the Fourth Proportional to 2,019.81, 3,030.93 and 865.56

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Solution

The fourth proportional to 2,019.81, 3,030.93 and 865.56 is: 1,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.81 : 3,030.93 = 865.56 : x
  2. Step 2: Convert to fraction form
    2,019.81/3,030.93 = 865.56/x
  3. Step 3: Cross multiply
    2,019.81x = 3,030.93 × 865.56
  4. Step 4: Simplify right side
    2,019.81x = 2,623,451.77
  5. Step 5: Solve for x
    x = 2,623,451.77/2,019.81
  6. Step 6: Final answer
    x = 1,298.86

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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.