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Finding the Fourth Proportional to 3,171.72, 4,378.14 and 2,384.40

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Solution

The fourth proportional to 3,171.72, 4,378.14 and 2,384.40 is: 3,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.72 : 4,378.14 = 2,384.40 : x
  2. Step 2: Convert to fraction form
    3,171.72/4,378.14 = 2,384.40/x
  3. Step 3: Cross multiply
    3,171.72x = 4,378.14 × 2,384.40
  4. Step 4: Simplify right side
    3,171.72x = 10,439,237.02
  5. Step 5: Solve for x
    x = 10,439,237.02/3,171.72
  6. Step 6: Final answer
    x = 3,291.35

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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.