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Finding the Fourth Proportional to 2,567.84, 3,853.44 and 1,991.84

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Solution

The fourth proportional to 2,567.84, 3,853.44 and 1,991.84 is: 2,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.84 : 3,853.44 = 1,991.84 : x
  2. Step 2: Convert to fraction form
    2,567.84/3,853.44 = 1,991.84/x
  3. Step 3: Cross multiply
    2,567.84x = 3,853.44 × 1,991.84
  4. Step 4: Simplify right side
    2,567.84x = 7,675,435.93
  5. Step 5: Solve for x
    x = 7,675,435.93/2,567.84
  6. Step 6: Final answer
    x = 2,989.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.