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Finding the Fourth Proportional to 2,256.82, 3,114.27 and 1,261.93

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Solution

The fourth proportional to 2,256.82, 3,114.27 and 1,261.93 is: 1,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.82 : 3,114.27 = 1,261.93 : x
  2. Step 2: Convert to fraction form
    2,256.82/3,114.27 = 1,261.93/x
  3. Step 3: Cross multiply
    2,256.82x = 3,114.27 × 1,261.93
  4. Step 4: Simplify right side
    2,256.82x = 3,929,992.34
  5. Step 5: Solve for x
    x = 3,929,992.34/2,256.82
  6. Step 6: Final answer
    x = 1,741.38

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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.