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Finding the Fourth Proportional to 1,627.92, 2,261.59 and 1,612.76

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Solution

The fourth proportional to 1,627.92, 2,261.59 and 1,612.76 is: 2,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.92 : 2,261.59 = 1,612.76 : x
  2. Step 2: Convert to fraction form
    1,627.92/2,261.59 = 1,612.76/x
  3. Step 3: Cross multiply
    1,627.92x = 2,261.59 × 1,612.76
  4. Step 4: Simplify right side
    1,627.92x = 3,647,401.89
  5. Step 5: Solve for x
    x = 3,647,401.89/1,627.92
  6. Step 6: Final answer
    x = 2,240.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.