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Finding the Fourth Proportional to 2,599.38, 3,897.24 and 1,299.94

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Solution

The fourth proportional to 2,599.38, 3,897.24 and 1,299.94 is: 1,948.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.38 : 3,897.24 = 1,299.94 : x
  2. Step 2: Convert to fraction form
    2,599.38/3,897.24 = 1,299.94/x
  3. Step 3: Cross multiply
    2,599.38x = 3,897.24 × 1,299.94
  4. Step 4: Simplify right side
    2,599.38x = 5,066,178.17
  5. Step 5: Solve for x
    x = 5,066,178.17/2,599.38
  6. Step 6: Final answer
    x = 1,948.99

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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.