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Finding the Fourth Proportional to 2,678.11, 4,017.59 and 828.79

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Solution

The fourth proportional to 2,678.11, 4,017.59 and 828.79 is: 1,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.11 : 4,017.59 = 828.79 : x
  2. Step 2: Convert to fraction form
    2,678.11/4,017.59 = 828.79/x
  3. Step 3: Cross multiply
    2,678.11x = 4,017.59 × 828.79
  4. Step 4: Simplify right side
    2,678.11x = 3,329,738.42
  5. Step 5: Solve for x
    x = 3,329,738.42/2,678.11
  6. Step 6: Final answer
    x = 1,243.32

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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.