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Finding the Fourth Proportional to 3,062.54, 4,593.81 and 982.76

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Solution

The fourth proportional to 3,062.54, 4,593.81 and 982.76 is: 1,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.54 : 4,593.81 = 982.76 : x
  2. Step 2: Convert to fraction form
    3,062.54/4,593.81 = 982.76/x
  3. Step 3: Cross multiply
    3,062.54x = 4,593.81 × 982.76
  4. Step 4: Simplify right side
    3,062.54x = 4,514,612.72
  5. Step 5: Solve for x
    x = 4,514,612.72/3,062.54
  6. Step 6: Final answer
    x = 1,474.14

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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.