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Finding the Fourth Proportional to 3,281.67, 4,925.35 and 1,722.78

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Solution

The fourth proportional to 3,281.67, 4,925.35 and 1,722.78 is: 2,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.67 : 4,925.35 = 1,722.78 : x
  2. Step 2: Convert to fraction form
    3,281.67/4,925.35 = 1,722.78/x
  3. Step 3: Cross multiply
    3,281.67x = 4,925.35 × 1,722.78
  4. Step 4: Simplify right side
    3,281.67x = 8,485,269.85
  5. Step 5: Solve for x
    x = 8,485,269.85/3,281.67
  6. Step 6: Final answer
    x = 2,585.66

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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.