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Finding the Fourth Proportional to 2,149.47, 3,225.15 and 2,065.64

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Solution

The fourth proportional to 2,149.47, 3,225.15 and 2,065.64 is: 3,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.47 : 3,225.15 = 2,065.64 : x
  2. Step 2: Convert to fraction form
    2,149.47/3,225.15 = 2,065.64/x
  3. Step 3: Cross multiply
    2,149.47x = 3,225.15 × 2,065.64
  4. Step 4: Simplify right side
    2,149.47x = 6,661,982.72
  5. Step 5: Solve for x
    x = 6,661,982.72/2,149.47
  6. Step 6: Final answer
    x = 3,099.36

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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.