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Finding the Fourth Proportional to 2,257.17, 3,114.80 and 1,262.54

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Solution

The fourth proportional to 2,257.17, 3,114.80 and 1,262.54 is: 1,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.17 : 3,114.80 = 1,262.54 : x
  2. Step 2: Convert to fraction form
    2,257.17/3,114.80 = 1,262.54/x
  3. Step 3: Cross multiply
    2,257.17x = 3,114.80 × 1,262.54
  4. Step 4: Simplify right side
    2,257.17x = 3,932,555.38
  5. Step 5: Solve for x
    x = 3,932,555.38/2,257.17
  6. Step 6: Final answer
    x = 1,742.25

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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.