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Finding the Fourth Proportional to 2,885.68, 3,982.44 and 1,643.68

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Solution

The fourth proportional to 2,885.68, 3,982.44 and 1,643.68 is: 2,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.68 : 3,982.44 = 1,643.68 : x
  2. Step 2: Convert to fraction form
    2,885.68/3,982.44 = 1,643.68/x
  3. Step 3: Cross multiply
    2,885.68x = 3,982.44 × 1,643.68
  4. Step 4: Simplify right side
    2,885.68x = 6,545,856.98
  5. Step 5: Solve for x
    x = 6,545,856.98/2,885.68
  6. Step 6: Final answer
    x = 2,268.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.