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Finding the Fourth Proportional to 2,262.86, 3,372.06 and 2,188.53

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Solution

The fourth proportional to 2,262.86, 3,372.06 and 2,188.53 is: 3,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.86 : 3,372.06 = 2,188.53 : x
  2. Step 2: Convert to fraction form
    2,262.86/3,372.06 = 2,188.53/x
  3. Step 3: Cross multiply
    2,262.86x = 3,372.06 × 2,188.53
  4. Step 4: Simplify right side
    2,262.86x = 7,379,854.47
  5. Step 5: Solve for x
    x = 7,379,854.47/2,262.86
  6. Step 6: Final answer
    x = 3,261.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.