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Finding the Fourth Proportional to 3,284.95, 4,921.86 and 1,983.69

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Solution

The fourth proportional to 3,284.95, 4,921.86 and 1,983.69 is: 2,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.95 : 4,921.86 = 1,983.69 : x
  2. Step 2: Convert to fraction form
    3,284.95/4,921.86 = 1,983.69/x
  3. Step 3: Cross multiply
    3,284.95x = 4,921.86 × 1,983.69
  4. Step 4: Simplify right side
    3,284.95x = 9,763,444.46
  5. Step 5: Solve for x
    x = 9,763,444.46/3,284.95
  6. Step 6: Final answer
    x = 2,972.17

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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.