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Finding the Fourth Proportional to 1,961.29, 2,705.19 and 1,429.63

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Solution

The fourth proportional to 1,961.29, 2,705.19 and 1,429.63 is: 1,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.29 : 2,705.19 = 1,429.63 : x
  2. Step 2: Convert to fraction form
    1,961.29/2,705.19 = 1,429.63/x
  3. Step 3: Cross multiply
    1,961.29x = 2,705.19 × 1,429.63
  4. Step 4: Simplify right side
    1,961.29x = 3,867,420.78
  5. Step 5: Solve for x
    x = 3,867,420.78/1,961.29
  6. Step 6: Final answer
    x = 1,971.88

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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.