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Finding the Fourth Proportional to 1,974.06, 2,971.26 and 1,735.92

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Solution

The fourth proportional to 1,974.06, 2,971.26 and 1,735.92 is: 2,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.06 : 2,971.26 = 1,735.92 : x
  2. Step 2: Convert to fraction form
    1,974.06/2,971.26 = 1,735.92/x
  3. Step 3: Cross multiply
    1,974.06x = 2,971.26 × 1,735.92
  4. Step 4: Simplify right side
    1,974.06x = 5,157,869.66
  5. Step 5: Solve for x
    x = 5,157,869.66/1,974.06
  6. Step 6: Final answer
    x = 2,612.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.