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Finding the Fourth Proportional to 2,829.18, 4,243.82 and 980.36

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Solution

The fourth proportional to 2,829.18, 4,243.82 and 980.36 is: 1,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.18 : 4,243.82 = 980.36 : x
  2. Step 2: Convert to fraction form
    2,829.18/4,243.82 = 980.36/x
  3. Step 3: Cross multiply
    2,829.18x = 4,243.82 × 980.36
  4. Step 4: Simplify right side
    2,829.18x = 4,160,452.61
  5. Step 5: Solve for x
    x = 4,160,452.61/2,829.18
  6. Step 6: Final answer
    x = 1,470.55

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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.