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Finding the Fourth Proportional to 2,542.98, 3,509.14 and 1,480.66

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Solution

The fourth proportional to 2,542.98, 3,509.14 and 1,480.66 is: 2,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.98 : 3,509.14 = 1,480.66 : x
  2. Step 2: Convert to fraction form
    2,542.98/3,509.14 = 1,480.66/x
  3. Step 3: Cross multiply
    2,542.98x = 3,509.14 × 1,480.66
  4. Step 4: Simplify right side
    2,542.98x = 5,195,843.23
  5. Step 5: Solve for x
    x = 5,195,843.23/2,542.98
  6. Step 6: Final answer
    x = 2,043.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.