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Finding the Fourth Proportional to 2,502.26, 3,428.06 and 2,408.80

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Solution

The fourth proportional to 2,502.26, 3,428.06 and 2,408.80 is: 3,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.26 : 3,428.06 = 2,408.80 : x
  2. Step 2: Convert to fraction form
    2,502.26/3,428.06 = 2,408.80/x
  3. Step 3: Cross multiply
    2,502.26x = 3,428.06 × 2,408.80
  4. Step 4: Simplify right side
    2,502.26x = 8,257,510.93
  5. Step 5: Solve for x
    x = 8,257,510.93/2,502.26
  6. Step 6: Final answer
    x = 3,300.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.