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Finding the Fourth Proportional to 2,280.76, 3,421.50 and 982.60

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Solution

The fourth proportional to 2,280.76, 3,421.50 and 982.60 is: 1,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.76 : 3,421.50 = 982.60 : x
  2. Step 2: Convert to fraction form
    2,280.76/3,421.50 = 982.60/x
  3. Step 3: Cross multiply
    2,280.76x = 3,421.50 × 982.60
  4. Step 4: Simplify right side
    2,280.76x = 3,361,965.90
  5. Step 5: Solve for x
    x = 3,361,965.90/2,280.76
  6. Step 6: Final answer
    x = 1,474.06

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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.