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Finding the Fourth Proportional to 2,262.62, 3,122.35 and 1,267.88

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Solution

The fourth proportional to 2,262.62, 3,122.35 and 1,267.88 is: 1,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.62 : 3,122.35 = 1,267.88 : x
  2. Step 2: Convert to fraction form
    2,262.62/3,122.35 = 1,267.88/x
  3. Step 3: Cross multiply
    2,262.62x = 3,122.35 × 1,267.88
  4. Step 4: Simplify right side
    2,262.62x = 3,958,746.34
  5. Step 5: Solve for x
    x = 3,958,746.34/2,262.62
  6. Step 6: Final answer
    x = 1,749.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.