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Finding the Fourth Proportional to 2,567.54, 3,543.23 and 1,448.49

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Solution

The fourth proportional to 2,567.54, 3,543.23 and 1,448.49 is: 1,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.54 : 3,543.23 = 1,448.49 : x
  2. Step 2: Convert to fraction form
    2,567.54/3,543.23 = 1,448.49/x
  3. Step 3: Cross multiply
    2,567.54x = 3,543.23 × 1,448.49
  4. Step 4: Simplify right side
    2,567.54x = 5,132,336.84
  5. Step 5: Solve for x
    x = 5,132,336.84/2,567.54
  6. Step 6: Final answer
    x = 1,998.93

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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.