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Finding the Fourth Proportional to 2,006.19, 3,012.53 and 1,277.19

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Solution

The fourth proportional to 2,006.19, 3,012.53 and 1,277.19 is: 1,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.19 : 3,012.53 = 1,277.19 : x
  2. Step 2: Convert to fraction form
    2,006.19/3,012.53 = 1,277.19/x
  3. Step 3: Cross multiply
    2,006.19x = 3,012.53 × 1,277.19
  4. Step 4: Simplify right side
    2,006.19x = 3,847,566.80
  5. Step 5: Solve for x
    x = 3,847,566.80/2,006.19
  6. Step 6: Final answer
    x = 1,917.85

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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.