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Finding the Fourth Proportional to 1,474.47, 2,211.63 and 896.13

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Solution

The fourth proportional to 1,474.47, 2,211.63 and 896.13 is: 1,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.47 : 2,211.63 = 896.13 : x
  2. Step 2: Convert to fraction form
    1,474.47/2,211.63 = 896.13/x
  3. Step 3: Cross multiply
    1,474.47x = 2,211.63 × 896.13
  4. Step 4: Simplify right side
    1,474.47x = 1,981,907.99
  5. Step 5: Solve for x
    x = 1,981,907.99/1,474.47
  6. Step 6: Final answer
    x = 1,344.15

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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.