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Finding the Fourth Proportional to 1,486.32, 2,228.28 and 745.44

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Solution

The fourth proportional to 1,486.32, 2,228.28 and 745.44 is: 1,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.32 : 2,228.28 = 745.44 : x
  2. Step 2: Convert to fraction form
    1,486.32/2,228.28 = 745.44/x
  3. Step 3: Cross multiply
    1,486.32x = 2,228.28 × 745.44
  4. Step 4: Simplify right side
    1,486.32x = 1,661,049.04
  5. Step 5: Solve for x
    x = 1,661,049.04/1,486.32
  6. Step 6: Final answer
    x = 1,117.56

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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.