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Finding the Fourth Proportional to 2,652.35, 3,979.13 and 1,664.55

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Solution

The fourth proportional to 2,652.35, 3,979.13 and 1,664.55 is: 2,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.35 : 3,979.13 = 1,664.55 : x
  2. Step 2: Convert to fraction form
    2,652.35/3,979.13 = 1,664.55/x
  3. Step 3: Cross multiply
    2,652.35x = 3,979.13 × 1,664.55
  4. Step 4: Simplify right side
    2,652.35x = 6,623,452.52
  5. Step 5: Solve for x
    x = 6,623,452.52/2,652.35
  6. Step 6: Final answer
    x = 2,497.21

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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.