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Finding the Fourth Proportional to 3,043.32, 4,198.41 and 1,784.45

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Solution

The fourth proportional to 3,043.32, 4,198.41 and 1,784.45 is: 2,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.32 : 4,198.41 = 1,784.45 : x
  2. Step 2: Convert to fraction form
    3,043.32/4,198.41 = 1,784.45/x
  3. Step 3: Cross multiply
    3,043.32x = 4,198.41 × 1,784.45
  4. Step 4: Simplify right side
    3,043.32x = 7,491,831.73
  5. Step 5: Solve for x
    x = 7,491,831.73/3,043.32
  6. Step 6: Final answer
    x = 2,461.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.