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Finding the Fourth Proportional to 3,177.37, 4,384.71 and 2,000.44

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Solution

The fourth proportional to 3,177.37, 4,384.71 and 2,000.44 is: 2,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.37 : 4,384.71 = 2,000.44 : x
  2. Step 2: Convert to fraction form
    3,177.37/4,384.71 = 2,000.44/x
  3. Step 3: Cross multiply
    3,177.37x = 4,384.71 × 2,000.44
  4. Step 4: Simplify right side
    3,177.37x = 8,771,349.27
  5. Step 5: Solve for x
    x = 8,771,349.27/3,177.37
  6. Step 6: Final answer
    x = 2,760.57

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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.