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Finding the Fourth Proportional to 2,829.70, 4,244.55 and 982.90

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Solution

The fourth proportional to 2,829.70, 4,244.55 and 982.90 is: 1,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.70 : 4,244.55 = 982.90 : x
  2. Step 2: Convert to fraction form
    2,829.70/4,244.55 = 982.90/x
  3. Step 3: Cross multiply
    2,829.70x = 4,244.55 × 982.90
  4. Step 4: Simplify right side
    2,829.70x = 4,171,968.20
  5. Step 5: Solve for x
    x = 4,171,968.20/2,829.70
  6. Step 6: Final answer
    x = 1,474.35

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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.