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Finding the Fourth Proportional to 2,597.86, 3,896.80 and 1,037.99

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Solution

The fourth proportional to 2,597.86, 3,896.80 and 1,037.99 is: 1,556.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.86 : 3,896.80 = 1,037.99 : x
  2. Step 2: Convert to fraction form
    2,597.86/3,896.80 = 1,037.99/x
  3. Step 3: Cross multiply
    2,597.86x = 3,896.80 × 1,037.99
  4. Step 4: Simplify right side
    2,597.86x = 4,044,838.54
  5. Step 5: Solve for x
    x = 4,044,838.54/2,597.86
  6. Step 6: Final answer
    x = 1,556.99

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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.