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Finding the Fourth Proportional to 3,291.49, 4,543.50 and 2,234.73

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Solution

The fourth proportional to 3,291.49, 4,543.50 and 2,234.73 is: 3,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.49 : 4,543.50 = 2,234.73 : x
  2. Step 2: Convert to fraction form
    3,291.49/4,543.50 = 2,234.73/x
  3. Step 3: Cross multiply
    3,291.49x = 4,543.50 × 2,234.73
  4. Step 4: Simplify right side
    3,291.49x = 10,153,495.76
  5. Step 5: Solve for x
    x = 10,153,495.76/3,291.49
  6. Step 6: Final answer
    x = 3,084.77

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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.