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Finding the Fourth Proportional to 2,828.59, 4,242.08 and 979.23

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Solution

The fourth proportional to 2,828.59, 4,242.08 and 979.23 is: 1,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.59 : 4,242.08 = 979.23 : x
  2. Step 2: Convert to fraction form
    2,828.59/4,242.08 = 979.23/x
  3. Step 3: Cross multiply
    2,828.59x = 4,242.08 × 979.23
  4. Step 4: Simplify right side
    2,828.59x = 4,153,945.89
  5. Step 5: Solve for x
    x = 4,153,945.89/2,828.59
  6. Step 6: Final answer
    x = 1,468.56

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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.