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Finding the Fourth Proportional to 2,567.91, 3,833.29 and 2,256.52

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Solution

The fourth proportional to 2,567.91, 3,833.29 and 2,256.52 is: 3,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.91 : 3,833.29 = 2,256.52 : x
  2. Step 2: Convert to fraction form
    2,567.91/3,833.29 = 2,256.52/x
  3. Step 3: Cross multiply
    2,567.91x = 3,833.29 × 2,256.52
  4. Step 4: Simplify right side
    2,567.91x = 8,649,895.55
  5. Step 5: Solve for x
    x = 8,649,895.55/2,567.91
  6. Step 6: Final answer
    x = 3,368.46

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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.