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Finding the Fourth Proportional to 2,696.92, 3,721.38 and 1,648.72

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Solution

The fourth proportional to 2,696.92, 3,721.38 and 1,648.72 is: 2,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.92 : 3,721.38 = 1,648.72 : x
  2. Step 2: Convert to fraction form
    2,696.92/3,721.38 = 1,648.72/x
  3. Step 3: Cross multiply
    2,696.92x = 3,721.38 × 1,648.72
  4. Step 4: Simplify right side
    2,696.92x = 6,135,513.63
  5. Step 5: Solve for x
    x = 6,135,513.63/2,696.92
  6. Step 6: Final answer
    x = 2,275.01

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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.