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Finding the Fourth Proportional to 2,773.50, 3,827.46 and 1,531.50

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Solution

The fourth proportional to 2,773.50, 3,827.46 and 1,531.50 is: 2,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.50 : 3,827.46 = 1,531.50 : x
  2. Step 2: Convert to fraction form
    2,773.50/3,827.46 = 1,531.50/x
  3. Step 3: Cross multiply
    2,773.50x = 3,827.46 × 1,531.50
  4. Step 4: Simplify right side
    2,773.50x = 5,861,754.99
  5. Step 5: Solve for x
    x = 5,861,754.99/2,773.50
  6. Step 6: Final answer
    x = 2,113.49

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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.