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Finding the Fourth Proportional to 2,257.23, 3,114.92 and 1,262.62

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Solution

The fourth proportional to 2,257.23, 3,114.92 and 1,262.62 is: 1,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.23 : 3,114.92 = 1,262.62 : x
  2. Step 2: Convert to fraction form
    2,257.23/3,114.92 = 1,262.62/x
  3. Step 3: Cross multiply
    2,257.23x = 3,114.92 × 1,262.62
  4. Step 4: Simplify right side
    2,257.23x = 3,932,967.34
  5. Step 5: Solve for x
    x = 3,932,967.34/2,257.23
  6. Step 6: Final answer
    x = 1,742.38

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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.