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Finding the Fourth Proportional to 2,410.89, 3,618.11 and 1,024.62

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Solution

The fourth proportional to 2,410.89, 3,618.11 and 1,024.62 is: 1,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.89 : 3,618.11 = 1,024.62 : x
  2. Step 2: Convert to fraction form
    2,410.89/3,618.11 = 1,024.62/x
  3. Step 3: Cross multiply
    2,410.89x = 3,618.11 × 1,024.62
  4. Step 4: Simplify right side
    2,410.89x = 3,707,187.87
  5. Step 5: Solve for x
    x = 3,707,187.87/2,410.89
  6. Step 6: Final answer
    x = 1,537.68

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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.