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Finding the Fourth Proportional to 3,230.95, 4,459.20 and 1,972.74

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Solution

The fourth proportional to 3,230.95, 4,459.20 and 1,972.74 is: 2,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.95 : 4,459.20 = 1,972.74 : x
  2. Step 2: Convert to fraction form
    3,230.95/4,459.20 = 1,972.74/x
  3. Step 3: Cross multiply
    3,230.95x = 4,459.20 × 1,972.74
  4. Step 4: Simplify right side
    3,230.95x = 8,796,842.21
  5. Step 5: Solve for x
    x = 8,796,842.21/3,230.95
  6. Step 6: Final answer
    x = 2,722.68

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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.