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Finding the Fourth Proportional to 2,828.59, 4,241.87 and 979.20

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Solution

The fourth proportional to 2,828.59, 4,241.87 and 979.20 is: 1,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.59 : 4,241.87 = 979.20 : x
  2. Step 2: Convert to fraction form
    2,828.59/4,241.87 = 979.20/x
  3. Step 3: Cross multiply
    2,828.59x = 4,241.87 × 979.20
  4. Step 4: Simplify right side
    2,828.59x = 4,153,634.21
  5. Step 5: Solve for x
    x = 4,153,634.21/2,828.59
  6. Step 6: Final answer
    x = 1,468.45

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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.