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Finding the Fourth Proportional to 1,971.60, 2,939.52 and 1,920.30

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Solution

The fourth proportional to 1,971.60, 2,939.52 and 1,920.30 is: 2,863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.60 : 2,939.52 = 1,920.30 : x
  2. Step 2: Convert to fraction form
    1,971.60/2,939.52 = 1,920.30/x
  3. Step 3: Cross multiply
    1,971.60x = 2,939.52 × 1,920.30
  4. Step 4: Simplify right side
    1,971.60x = 5,644,760.26
  5. Step 5: Solve for x
    x = 5,644,760.26/1,971.60
  6. Step 6: Final answer
    x = 2,863.04

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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.