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Finding the Fourth Proportional to 2,725.72, 4,092.21 and 1,410.52

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Solution

The fourth proportional to 2,725.72, 4,092.21 and 1,410.52 is: 2,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.72 : 4,092.21 = 1,410.52 : x
  2. Step 2: Convert to fraction form
    2,725.72/4,092.21 = 1,410.52/x
  3. Step 3: Cross multiply
    2,725.72x = 4,092.21 × 1,410.52
  4. Step 4: Simplify right side
    2,725.72x = 5,772,144.05
  5. Step 5: Solve for x
    x = 5,772,144.05/2,725.72
  6. Step 6: Final answer
    x = 2,117.66

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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.