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Finding the Fourth Proportional to 4,171.69, 6,257.40 and 1,981.99

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Solution

The fourth proportional to 4,171.69, 6,257.40 and 1,981.99 is: 2,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.69 : 6,257.40 = 1,981.99 : x
  2. Step 2: Convert to fraction form
    4,171.69/6,257.40 = 1,981.99/x
  3. Step 3: Cross multiply
    4,171.69x = 6,257.40 × 1,981.99
  4. Step 4: Simplify right side
    4,171.69x = 12,402,104.23
  5. Step 5: Solve for x
    x = 12,402,104.23/4,171.69
  6. Step 6: Final answer
    x = 2,972.92

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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.