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Finding the Fourth Proportional to 2,009.70, 3,016.71 and 1,035.54

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Solution

The fourth proportional to 2,009.70, 3,016.71 and 1,035.54 is: 1,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.70 : 3,016.71 = 1,035.54 : x
  2. Step 2: Convert to fraction form
    2,009.70/3,016.71 = 1,035.54/x
  3. Step 3: Cross multiply
    2,009.70x = 3,016.71 × 1,035.54
  4. Step 4: Simplify right side
    2,009.70x = 3,123,923.87
  5. Step 5: Solve for x
    x = 3,123,923.87/2,009.70
  6. Step 6: Final answer
    x = 1,554.42

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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.