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Finding the Fourth Proportional to 2,678.19, 4,017.66 and 829.44

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Solution

The fourth proportional to 2,678.19, 4,017.66 and 829.44 is: 1,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.19 : 4,017.66 = 829.44 : x
  2. Step 2: Convert to fraction form
    2,678.19/4,017.66 = 829.44/x
  3. Step 3: Cross multiply
    2,678.19x = 4,017.66 × 829.44
  4. Step 4: Simplify right side
    2,678.19x = 3,332,404.80
  5. Step 5: Solve for x
    x = 3,332,404.80/2,678.19
  6. Step 6: Final answer
    x = 1,244.28

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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.