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Finding the Fourth Proportional to 2,367.54, 3,551.14 and 980.52

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Solution

The fourth proportional to 2,367.54, 3,551.14 and 980.52 is: 1,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.54 : 3,551.14 = 980.52 : x
  2. Step 2: Convert to fraction form
    2,367.54/3,551.14 = 980.52/x
  3. Step 3: Cross multiply
    2,367.54x = 3,551.14 × 980.52
  4. Step 4: Simplify right side
    2,367.54x = 3,481,963.79
  5. Step 5: Solve for x
    x = 3,481,963.79/2,367.54
  6. Step 6: Final answer
    x = 1,470.71

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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.