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Finding the Fourth Proportional to 2,541.06, 3,808.98 and 980.64

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Solution

The fourth proportional to 2,541.06, 3,808.98 and 980.64 is: 1,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.06 : 3,808.98 = 980.64 : x
  2. Step 2: Convert to fraction form
    2,541.06/3,808.98 = 980.64/x
  3. Step 3: Cross multiply
    2,541.06x = 3,808.98 × 980.64
  4. Step 4: Simplify right side
    2,541.06x = 3,735,238.15
  5. Step 5: Solve for x
    x = 3,735,238.15/2,541.06
  6. Step 6: Final answer
    x = 1,469.95

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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.