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Finding the Fourth Proportional to 4,253.34, 6,380.57 and 1,480.22

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Solution

The fourth proportional to 4,253.34, 6,380.57 and 1,480.22 is: 2,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.34 : 6,380.57 = 1,480.22 : x
  2. Step 2: Convert to fraction form
    4,253.34/6,380.57 = 1,480.22/x
  3. Step 3: Cross multiply
    4,253.34x = 6,380.57 × 1,480.22
  4. Step 4: Simplify right side
    4,253.34x = 9,444,608.02
  5. Step 5: Solve for x
    x = 9,444,608.02/4,253.34
  6. Step 6: Final answer
    x = 2,220.52

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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.