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Finding the Fourth Proportional to 3,049.47, 4,208.27 and 1,652.22

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Solution

The fourth proportional to 3,049.47, 4,208.27 and 1,652.22 is: 2,280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.47 : 4,208.27 = 1,652.22 : x
  2. Step 2: Convert to fraction form
    3,049.47/4,208.27 = 1,652.22/x
  3. Step 3: Cross multiply
    3,049.47x = 4,208.27 × 1,652.22
  4. Step 4: Simplify right side
    3,049.47x = 6,952,987.86
  5. Step 5: Solve for x
    x = 6,952,987.86/3,049.47
  6. Step 6: Final answer
    x = 2,280.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.