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Finding the Fourth Proportional to 1,486.89, 2,229.61 and 746.18

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Solution

The fourth proportional to 1,486.89, 2,229.61 and 746.18 is: 1,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.89 : 2,229.61 = 746.18 : x
  2. Step 2: Convert to fraction form
    1,486.89/2,229.61 = 746.18/x
  3. Step 3: Cross multiply
    1,486.89x = 2,229.61 × 746.18
  4. Step 4: Simplify right side
    1,486.89x = 1,663,690.39
  5. Step 5: Solve for x
    x = 1,663,690.39/1,486.89
  6. Step 6: Final answer
    x = 1,118.91

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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.