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Finding the Fourth Proportional to 2,678.15, 4,017.60 and 829.42

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Solution

The fourth proportional to 2,678.15, 4,017.60 and 829.42 is: 1,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.15 : 4,017.60 = 829.42 : x
  2. Step 2: Convert to fraction form
    2,678.15/4,017.60 = 829.42/x
  3. Step 3: Cross multiply
    2,678.15x = 4,017.60 × 829.42
  4. Step 4: Simplify right side
    2,678.15x = 3,332,267.75
  5. Step 5: Solve for x
    x = 3,332,267.75/2,678.15
  6. Step 6: Final answer
    x = 1,244.24

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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.