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Finding the Fourth Proportional to 2,861.55, 3,949.09 and 1,602.53

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Solution

The fourth proportional to 2,861.55, 3,949.09 and 1,602.53 is: 2,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.55 : 3,949.09 = 1,602.53 : x
  2. Step 2: Convert to fraction form
    2,861.55/3,949.09 = 1,602.53/x
  3. Step 3: Cross multiply
    2,861.55x = 3,949.09 × 1,602.53
  4. Step 4: Simplify right side
    2,861.55x = 6,328,555.23
  5. Step 5: Solve for x
    x = 6,328,555.23/2,861.55
  6. Step 6: Final answer
    x = 2,211.58

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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.