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Finding the Fourth Proportional to 1,974.32, 2,961.51 and 1,914.18

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Solution

The fourth proportional to 1,974.32, 2,961.51 and 1,914.18 is: 2,871.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.32 : 2,961.51 = 1,914.18 : x
  2. Step 2: Convert to fraction form
    1,974.32/2,961.51 = 1,914.18/x
  3. Step 3: Cross multiply
    1,974.32x = 2,961.51 × 1,914.18
  4. Step 4: Simplify right side
    1,974.32x = 5,668,838.83
  5. Step 5: Solve for x
    x = 5,668,838.83/1,974.32
  6. Step 6: Final answer
    x = 2,871.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.