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Finding the Fourth Proportional to 1,648.94, 2,461.64 and 1,591.27

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Solution

The fourth proportional to 1,648.94, 2,461.64 and 1,591.27 is: 2,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.94 : 2,461.64 = 1,591.27 : x
  2. Step 2: Convert to fraction form
    1,648.94/2,461.64 = 1,591.27/x
  3. Step 3: Cross multiply
    1,648.94x = 2,461.64 × 1,591.27
  4. Step 4: Simplify right side
    1,648.94x = 3,917,121.57
  5. Step 5: Solve for x
    x = 3,917,121.57/1,648.94
  6. Step 6: Final answer
    x = 2,375.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.