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Finding the Fourth Proportional to 3,384.69, 5,076.98 and 1,193.43

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Solution

The fourth proportional to 3,384.69, 5,076.98 and 1,193.43 is: 1,790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.69 : 5,076.98 = 1,193.43 : x
  2. Step 2: Convert to fraction form
    3,384.69/5,076.98 = 1,193.43/x
  3. Step 3: Cross multiply
    3,384.69x = 5,076.98 × 1,193.43
  4. Step 4: Simplify right side
    3,384.69x = 6,059,037.79
  5. Step 5: Solve for x
    x = 6,059,037.79/3,384.69
  6. Step 6: Final answer
    x = 1,790.13

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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.