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Finding the Fourth Proportional to 2,983.68, 4,113.78 and 1,919.64

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Solution

The fourth proportional to 2,983.68, 4,113.78 and 1,919.64 is: 2,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.68 : 4,113.78 = 1,919.64 : x
  2. Step 2: Convert to fraction form
    2,983.68/4,113.78 = 1,919.64/x
  3. Step 3: Cross multiply
    2,983.68x = 4,113.78 × 1,919.64
  4. Step 4: Simplify right side
    2,983.68x = 7,896,976.64
  5. Step 5: Solve for x
    x = 7,896,976.64/2,983.68
  6. Step 6: Final answer
    x = 2,646.72

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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.