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Finding the Fourth Proportional to 1,471.86, 2,192.58 and 1,382.22

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Solution

The fourth proportional to 1,471.86, 2,192.58 and 1,382.22 is: 2,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.86 : 2,192.58 = 1,382.22 : x
  2. Step 2: Convert to fraction form
    1,471.86/2,192.58 = 1,382.22/x
  3. Step 3: Cross multiply
    1,471.86x = 2,192.58 × 1,382.22
  4. Step 4: Simplify right side
    1,471.86x = 3,030,627.93
  5. Step 5: Solve for x
    x = 3,030,627.93/1,471.86
  6. Step 6: Final answer
    x = 2,059.05

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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.