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Finding the Fourth Proportional to 1,963.37, 2,708.40 and 1,648.97

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Solution

The fourth proportional to 1,963.37, 2,708.40 and 1,648.97 is: 2,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.37 : 2,708.40 = 1,648.97 : x
  2. Step 2: Convert to fraction form
    1,963.37/2,708.40 = 1,648.97/x
  3. Step 3: Cross multiply
    1,963.37x = 2,708.40 × 1,648.97
  4. Step 4: Simplify right side
    1,963.37x = 4,466,070.35
  5. Step 5: Solve for x
    x = 4,466,070.35/1,963.37
  6. Step 6: Final answer
    x = 2,274.70

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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.