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Finding the Fourth Proportional to 2,827.62, 4,241.34 and 980.10

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Solution

The fourth proportional to 2,827.62, 4,241.34 and 980.10 is: 1,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.62 : 4,241.34 = 980.10 : x
  2. Step 2: Convert to fraction form
    2,827.62/4,241.34 = 980.10/x
  3. Step 3: Cross multiply
    2,827.62x = 4,241.34 × 980.10
  4. Step 4: Simplify right side
    2,827.62x = 4,156,937.33
  5. Step 5: Solve for x
    x = 4,156,937.33/2,827.62
  6. Step 6: Final answer
    x = 1,470.12

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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.