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Finding the Fourth Proportional to 2,274.06, 3,404.58 and 1,542.33

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Solution

The fourth proportional to 2,274.06, 3,404.58 and 1,542.33 is: 2,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.06 : 3,404.58 = 1,542.33 : x
  2. Step 2: Convert to fraction form
    2,274.06/3,404.58 = 1,542.33/x
  3. Step 3: Cross multiply
    2,274.06x = 3,404.58 × 1,542.33
  4. Step 4: Simplify right side
    2,274.06x = 5,250,985.87
  5. Step 5: Solve for x
    x = 5,250,985.87/2,274.06
  6. Step 6: Final answer
    x = 2,309.08

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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.