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Finding the Fourth Proportional to 2,584.32, 3,875.98 and 734.98

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Solution

The fourth proportional to 2,584.32, 3,875.98 and 734.98 is: 1,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.32 : 3,875.98 = 734.98 : x
  2. Step 2: Convert to fraction form
    2,584.32/3,875.98 = 734.98/x
  3. Step 3: Cross multiply
    2,584.32x = 3,875.98 × 734.98
  4. Step 4: Simplify right side
    2,584.32x = 2,848,767.78
  5. Step 5: Solve for x
    x = 2,848,767.78/2,584.32
  6. Step 6: Final answer
    x = 1,102.33

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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.