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Finding the Fourth Proportional to 2,567.44, 3,543.02 and 1,448.48

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Solution

The fourth proportional to 2,567.44, 3,543.02 and 1,448.48 is: 1,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.44 : 3,543.02 = 1,448.48 : x
  2. Step 2: Convert to fraction form
    2,567.44/3,543.02 = 1,448.48/x
  3. Step 3: Cross multiply
    2,567.44x = 3,543.02 × 1,448.48
  4. Step 4: Simplify right side
    2,567.44x = 5,131,993.61
  5. Step 5: Solve for x
    x = 5,131,993.61/2,567.44
  6. Step 6: Final answer
    x = 1,998.88

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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.