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Finding the Fourth Proportional to 2,825.28, 4,236.55 and 975.75

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Solution

The fourth proportional to 2,825.28, 4,236.55 and 975.75 is: 1,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.28 : 4,236.55 = 975.75 : x
  2. Step 2: Convert to fraction form
    2,825.28/4,236.55 = 975.75/x
  3. Step 3: Cross multiply
    2,825.28x = 4,236.55 × 975.75
  4. Step 4: Simplify right side
    2,825.28x = 4,133,800.82
  5. Step 5: Solve for x
    x = 4,133,800.82/2,825.28
  6. Step 6: Final answer
    x = 1,463.15

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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.