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Finding the Fourth Proportional to 2,630.15, 3,944.07 and 985.54

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Solution

The fourth proportional to 2,630.15, 3,944.07 and 985.54 is: 1,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.15 : 3,944.07 = 985.54 : x
  2. Step 2: Convert to fraction form
    2,630.15/3,944.07 = 985.54/x
  3. Step 3: Cross multiply
    2,630.15x = 3,944.07 × 985.54
  4. Step 4: Simplify right side
    2,630.15x = 3,887,038.75
  5. Step 5: Solve for x
    x = 3,887,038.75/2,630.15
  6. Step 6: Final answer
    x = 1,477.88

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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.