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Finding the Fourth Proportional to 1,471.98, 2,206.81 and 1,008.35

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Solution

The fourth proportional to 1,471.98, 2,206.81 and 1,008.35 is: 1,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.98 : 2,206.81 = 1,008.35 : x
  2. Step 2: Convert to fraction form
    1,471.98/2,206.81 = 1,008.35/x
  3. Step 3: Cross multiply
    1,471.98x = 2,206.81 × 1,008.35
  4. Step 4: Simplify right side
    1,471.98x = 2,225,236.86
  5. Step 5: Solve for x
    x = 2,225,236.86/1,471.98
  6. Step 6: Final answer
    x = 1,511.73

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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.