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Finding the Fourth Proportional to 2,541.11, 3,811.23 and 980.46

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Solution

The fourth proportional to 2,541.11, 3,811.23 and 980.46 is: 1,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.11 : 3,811.23 = 980.46 : x
  2. Step 2: Convert to fraction form
    2,541.11/3,811.23 = 980.46/x
  3. Step 3: Cross multiply
    2,541.11x = 3,811.23 × 980.46
  4. Step 4: Simplify right side
    2,541.11x = 3,736,758.57
  5. Step 5: Solve for x
    x = 3,736,758.57/2,541.11
  6. Step 6: Final answer
    x = 1,470.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.