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Finding the Fourth Proportional to 1,489.76, 2,228.26 and 1,074.24

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Solution

The fourth proportional to 1,489.76, 2,228.26 and 1,074.24 is: 1,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.76 : 2,228.26 = 1,074.24 : x
  2. Step 2: Convert to fraction form
    1,489.76/2,228.26 = 1,074.24/x
  3. Step 3: Cross multiply
    1,489.76x = 2,228.26 × 1,074.24
  4. Step 4: Simplify right side
    1,489.76x = 2,393,686.02
  5. Step 5: Solve for x
    x = 2,393,686.02/1,489.76
  6. Step 6: Final answer
    x = 1,606.76

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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.