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Finding the Fourth Proportional to 2,061.76, 2,843.39 and 1,607.63

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Solution

The fourth proportional to 2,061.76, 2,843.39 and 1,607.63 is: 2,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.76 : 2,843.39 = 1,607.63 : x
  2. Step 2: Convert to fraction form
    2,061.76/2,843.39 = 1,607.63/x
  3. Step 3: Cross multiply
    2,061.76x = 2,843.39 × 1,607.63
  4. Step 4: Simplify right side
    2,061.76x = 4,571,113.60
  5. Step 5: Solve for x
    x = 4,571,113.60/2,061.76
  6. Step 6: Final answer
    x = 2,217.09

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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.