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Finding the Fourth Proportional to 3,282.16, 4,922 and 1,333.70

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Solution

The fourth proportional to 3,282.16, 4,922 and 1,333.70 is: 2,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.16 : 4,922 = 1,333.70 : x
  2. Step 2: Convert to fraction form
    3,282.16/4,922 = 1,333.70/x
  3. Step 3: Cross multiply
    3,282.16x = 4,922 × 1,333.70
  4. Step 4: Simplify right side
    3,282.16x = 6,564,471.40
  5. Step 5: Solve for x
    x = 6,564,471.40/3,282.16
  6. Step 6: Final answer
    x = 2,000.05

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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.