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Finding the Fourth Proportional to 3,191.29, 4,776.91 and 2,017.24

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Solution

The fourth proportional to 3,191.29, 4,776.91 and 2,017.24 is: 3,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.29 : 4,776.91 = 2,017.24 : x
  2. Step 2: Convert to fraction form
    3,191.29/4,776.91 = 2,017.24/x
  3. Step 3: Cross multiply
    3,191.29x = 4,776.91 × 2,017.24
  4. Step 4: Simplify right side
    3,191.29x = 9,636,173.93
  5. Step 5: Solve for x
    x = 9,636,173.93/3,191.29
  6. Step 6: Final answer
    x = 3,019.52

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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.