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Finding the Fourth Proportional to 2,013.44, 3,019.27 and 826.67

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Solution

The fourth proportional to 2,013.44, 3,019.27 and 826.67 is: 1,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.44 : 3,019.27 = 826.67 : x
  2. Step 2: Convert to fraction form
    2,013.44/3,019.27 = 826.67/x
  3. Step 3: Cross multiply
    2,013.44x = 3,019.27 × 826.67
  4. Step 4: Simplify right side
    2,013.44x = 2,495,925.87
  5. Step 5: Solve for x
    x = 2,495,925.87/2,013.44
  6. Step 6: Final answer
    x = 1,239.63

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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.