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Finding the Fourth Proportional to 2,567.88, 3,833.25 and 2,256.49

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Solution

The fourth proportional to 2,567.88, 3,833.25 and 2,256.49 is: 3,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.88 : 3,833.25 = 2,256.49 : x
  2. Step 2: Convert to fraction form
    2,567.88/3,833.25 = 2,256.49/x
  3. Step 3: Cross multiply
    2,567.88x = 3,833.25 × 2,256.49
  4. Step 4: Simplify right side
    2,567.88x = 8,649,679.01
  5. Step 5: Solve for x
    x = 8,649,679.01/2,567.88
  6. Step 6: Final answer
    x = 3,368.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.