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Finding the Fourth Proportional to 2,257.39, 3,114.90 and 1,262.56

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Solution

The fourth proportional to 2,257.39, 3,114.90 and 1,262.56 is: 1,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.39 : 3,114.90 = 1,262.56 : x
  2. Step 2: Convert to fraction form
    2,257.39/3,114.90 = 1,262.56/x
  3. Step 3: Cross multiply
    2,257.39x = 3,114.90 × 1,262.56
  4. Step 4: Simplify right side
    2,257.39x = 3,932,748.14
  5. Step 5: Solve for x
    x = 3,932,748.14/2,257.39
  6. Step 6: Final answer
    x = 1,742.17

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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.