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Finding the Fourth Proportional to 2,147.78, 3,223.76 and 1,037.99

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Solution

The fourth proportional to 2,147.78, 3,223.76 and 1,037.99 is: 1,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.78 : 3,223.76 = 1,037.99 : x
  2. Step 2: Convert to fraction form
    2,147.78/3,223.76 = 1,037.99/x
  3. Step 3: Cross multiply
    2,147.78x = 3,223.76 × 1,037.99
  4. Step 4: Simplify right side
    2,147.78x = 3,346,209.33
  5. Step 5: Solve for x
    x = 3,346,209.33/2,147.78
  6. Step 6: Final answer
    x = 1,557.98

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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.