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Finding the Fourth Proportional to 2,702.32, 3,725.28 and 2,327.68

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Solution

The fourth proportional to 2,702.32, 3,725.28 and 2,327.68 is: 3,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.32 : 3,725.28 = 2,327.68 : x
  2. Step 2: Convert to fraction form
    2,702.32/3,725.28 = 2,327.68/x
  3. Step 3: Cross multiply
    2,702.32x = 3,725.28 × 2,327.68
  4. Step 4: Simplify right side
    2,702.32x = 8,671,259.75
  5. Step 5: Solve for x
    x = 8,671,259.75/2,702.32
  6. Step 6: Final answer
    x = 3,208.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.