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Finding the Fourth Proportional to 2,825.75, 4,238.56 and 976.70

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Solution

The fourth proportional to 2,825.75, 4,238.56 and 976.70 is: 1,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.75 : 4,238.56 = 976.70 : x
  2. Step 2: Convert to fraction form
    2,825.75/4,238.56 = 976.70/x
  3. Step 3: Cross multiply
    2,825.75x = 4,238.56 × 976.70
  4. Step 4: Simplify right side
    2,825.75x = 4,139,777.92
  5. Step 5: Solve for x
    x = 4,139,777.92/2,825.75
  6. Step 6: Final answer
    x = 1,465.02

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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.