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Finding the Fourth Proportional to 3,084.67, 4,256.92 and 1,758.50

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Solution

The fourth proportional to 3,084.67, 4,256.92 and 1,758.50 is: 2,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.67 : 4,256.92 = 1,758.50 : x
  2. Step 2: Convert to fraction form
    3,084.67/4,256.92 = 1,758.50/x
  3. Step 3: Cross multiply
    3,084.67x = 4,256.92 × 1,758.50
  4. Step 4: Simplify right side
    3,084.67x = 7,485,793.82
  5. Step 5: Solve for x
    x = 7,485,793.82/3,084.67
  6. Step 6: Final answer
    x = 2,426.77

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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.