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Finding the Fourth Proportional to 1,471.49, 2,029.14 and 1,073.21

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Solution

The fourth proportional to 1,471.49, 2,029.14 and 1,073.21 is: 1,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.49 : 2,029.14 = 1,073.21 : x
  2. Step 2: Convert to fraction form
    1,471.49/2,029.14 = 1,073.21/x
  3. Step 3: Cross multiply
    1,471.49x = 2,029.14 × 1,073.21
  4. Step 4: Simplify right side
    1,471.49x = 2,177,698.41
  5. Step 5: Solve for x
    x = 2,177,698.41/1,471.49
  6. Step 6: Final answer
    x = 1,479.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.