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Finding the Fourth Proportional to 2,013.22, 3,019.20 and 715.06

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Solution

The fourth proportional to 2,013.22, 3,019.20 and 715.06 is: 1,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.22 : 3,019.20 = 715.06 : x
  2. Step 2: Convert to fraction form
    2,013.22/3,019.20 = 715.06/x
  3. Step 3: Cross multiply
    2,013.22x = 3,019.20 × 715.06
  4. Step 4: Simplify right side
    2,013.22x = 2,158,909.15
  5. Step 5: Solve for x
    x = 2,158,909.15/2,013.22
  6. Step 6: Final answer
    x = 1,072.37

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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.