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Finding the Fourth Proportional to 2,541.12, 3,811.52 and 980.48

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Solution

The fourth proportional to 2,541.12, 3,811.52 and 980.48 is: 1,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.12 : 3,811.52 = 980.48 : x
  2. Step 2: Convert to fraction form
    2,541.12/3,811.52 = 980.48/x
  3. Step 3: Cross multiply
    2,541.12x = 3,811.52 × 980.48
  4. Step 4: Simplify right side
    2,541.12x = 3,737,119.13
  5. Step 5: Solve for x
    x = 3,737,119.13/2,541.12
  6. Step 6: Final answer
    x = 1,470.66

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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.