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Finding the Fourth Proportional to 2,009.94, 3,013.29 and 1,143.06

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Solution

The fourth proportional to 2,009.94, 3,013.29 and 1,143.06 is: 1,713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.94 : 3,013.29 = 1,143.06 : x
  2. Step 2: Convert to fraction form
    2,009.94/3,013.29 = 1,143.06/x
  3. Step 3: Cross multiply
    2,009.94x = 3,013.29 × 1,143.06
  4. Step 4: Simplify right side
    2,009.94x = 3,444,371.27
  5. Step 5: Solve for x
    x = 3,444,371.27/2,009.94
  6. Step 6: Final answer
    x = 1,713.67

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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.