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Finding the Fourth Proportional to 2,829.24, 4,242.85 and 979.86

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Solution

The fourth proportional to 2,829.24, 4,242.85 and 979.86 is: 1,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.24 : 4,242.85 = 979.86 : x
  2. Step 2: Convert to fraction form
    2,829.24/4,242.85 = 979.86/x
  3. Step 3: Cross multiply
    2,829.24x = 4,242.85 × 979.86
  4. Step 4: Simplify right side
    2,829.24x = 4,157,412.46
  5. Step 5: Solve for x
    x = 4,157,412.46/2,829.24
  6. Step 6: Final answer
    x = 1,469.44

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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.