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Finding the Fourth Proportional to 3,191.79, 4,777.67 and 2,017.74

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Solution

The fourth proportional to 3,191.79, 4,777.67 and 2,017.74 is: 3,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.79 : 4,777.67 = 2,017.74 : x
  2. Step 2: Convert to fraction form
    3,191.79/4,777.67 = 2,017.74/x
  3. Step 3: Cross multiply
    3,191.79x = 4,777.67 × 2,017.74
  4. Step 4: Simplify right side
    3,191.79x = 9,640,085.78
  5. Step 5: Solve for x
    x = 9,640,085.78/3,191.79
  6. Step 6: Final answer
    x = 3,020.28

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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.