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Finding the Fourth Proportional to 2,598.86, 3,898.43 and 1,299.89

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Solution

The fourth proportional to 2,598.86, 3,898.43 and 1,299.89 is: 1,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.86 : 3,898.43 = 1,299.89 : x
  2. Step 2: Convert to fraction form
    2,598.86/3,898.43 = 1,299.89/x
  3. Step 3: Cross multiply
    2,598.86x = 3,898.43 × 1,299.89
  4. Step 4: Simplify right side
    2,598.86x = 5,067,523.67
  5. Step 5: Solve for x
    x = 5,067,523.67/2,598.86
  6. Step 6: Final answer
    x = 1,949.90

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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.