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Finding the Fourth Proportional to 2,652.92, 3,971.16 and 2,259.26

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Solution

The fourth proportional to 2,652.92, 3,971.16 and 2,259.26 is: 3,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.92 : 3,971.16 = 2,259.26 : x
  2. Step 2: Convert to fraction form
    2,652.92/3,971.16 = 2,259.26/x
  3. Step 3: Cross multiply
    2,652.92x = 3,971.16 × 2,259.26
  4. Step 4: Simplify right side
    2,652.92x = 8,971,863.09
  5. Step 5: Solve for x
    x = 8,971,863.09/2,652.92
  6. Step 6: Final answer
    x = 3,381.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.