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Finding the Fourth Proportional to 1,912.71, 2,865.40 and 1,473.30

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Solution

The fourth proportional to 1,912.71, 2,865.40 and 1,473.30 is: 2,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.71 : 2,865.40 = 1,473.30 : x
  2. Step 2: Convert to fraction form
    1,912.71/2,865.40 = 1,473.30/x
  3. Step 3: Cross multiply
    1,912.71x = 2,865.40 × 1,473.30
  4. Step 4: Simplify right side
    1,912.71x = 4,221,586.22
  5. Step 5: Solve for x
    x = 4,221,586.22/1,912.71
  6. Step 6: Final answer
    x = 2,207.12

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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.