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Finding the Fourth Proportional to 2,201.24, 3,314.93 and 1,916.12

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Solution

The fourth proportional to 2,201.24, 3,314.93 and 1,916.12 is: 2,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.24 : 3,314.93 = 1,916.12 : x
  2. Step 2: Convert to fraction form
    2,201.24/3,314.93 = 1,916.12/x
  3. Step 3: Cross multiply
    2,201.24x = 3,314.93 × 1,916.12
  4. Step 4: Simplify right side
    2,201.24x = 6,351,803.67
  5. Step 5: Solve for x
    x = 6,351,803.67/2,201.24
  6. Step 6: Final answer
    x = 2,885.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.