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Finding the Fourth Proportional to 1,471.94, 2,219.06 and 1,392.56

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Solution

The fourth proportional to 1,471.94, 2,219.06 and 1,392.56 is: 2,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.94 : 2,219.06 = 1,392.56 : x
  2. Step 2: Convert to fraction form
    1,471.94/2,219.06 = 1,392.56/x
  3. Step 3: Cross multiply
    1,471.94x = 2,219.06 × 1,392.56
  4. Step 4: Simplify right side
    1,471.94x = 3,090,174.19
  5. Step 5: Solve for x
    x = 3,090,174.19/1,471.94
  6. Step 6: Final answer
    x = 2,099.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.