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Finding the Fourth Proportional to 2,013.52, 3,019.32 and 1,396.72

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Solution

The fourth proportional to 2,013.52, 3,019.32 and 1,396.72 is: 2,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.52 : 3,019.32 = 1,396.72 : x
  2. Step 2: Convert to fraction form
    2,013.52/3,019.32 = 1,396.72/x
  3. Step 3: Cross multiply
    2,013.52x = 3,019.32 × 1,396.72
  4. Step 4: Simplify right side
    2,013.52x = 4,217,144.63
  5. Step 5: Solve for x
    x = 4,217,144.63/2,013.52
  6. Step 6: Final answer
    x = 2,094.41

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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.