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Finding the Fourth Proportional to 3,111.30, 4,658.16 and 2,419.20

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Solution

The fourth proportional to 3,111.30, 4,658.16 and 2,419.20 is: 3,621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.30 : 4,658.16 = 2,419.20 : x
  2. Step 2: Convert to fraction form
    3,111.30/4,658.16 = 2,419.20/x
  3. Step 3: Cross multiply
    3,111.30x = 4,658.16 × 2,419.20
  4. Step 4: Simplify right side
    3,111.30x = 11,269,020.67
  5. Step 5: Solve for x
    x = 11,269,020.67/3,111.30
  6. Step 6: Final answer
    x = 3,621.97

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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.