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Finding the Fourth Proportional to 2,611.58, 3,916.45 and 762.21

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Solution

The fourth proportional to 2,611.58, 3,916.45 and 762.21 is: 1,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.58 : 3,916.45 = 762.21 : x
  2. Step 2: Convert to fraction form
    2,611.58/3,916.45 = 762.21/x
  3. Step 3: Cross multiply
    2,611.58x = 3,916.45 × 762.21
  4. Step 4: Simplify right side
    2,611.58x = 2,985,158.31
  5. Step 5: Solve for x
    x = 2,985,158.31/2,611.58
  6. Step 6: Final answer
    x = 1,143.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.