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Finding the Fourth Proportional to 1,656.45, 2,481.15 and 1,542.51

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Solution

The fourth proportional to 1,656.45, 2,481.15 and 1,542.51 is: 2,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.45 : 2,481.15 = 1,542.51 : x
  2. Step 2: Convert to fraction form
    1,656.45/2,481.15 = 1,542.51/x
  3. Step 3: Cross multiply
    1,656.45x = 2,481.15 × 1,542.51
  4. Step 4: Simplify right side
    1,656.45x = 3,827,198.69
  5. Step 5: Solve for x
    x = 3,827,198.69/1,656.45
  6. Step 6: Final answer
    x = 2,310.48

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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.