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Finding the Fourth Proportional to 2,356.87, 3,535.21 and 969.82

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Solution

The fourth proportional to 2,356.87, 3,535.21 and 969.82 is: 1,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.87 : 3,535.21 = 969.82 : x
  2. Step 2: Convert to fraction form
    2,356.87/3,535.21 = 969.82/x
  3. Step 3: Cross multiply
    2,356.87x = 3,535.21 × 969.82
  4. Step 4: Simplify right side
    2,356.87x = 3,428,517.36
  5. Step 5: Solve for x
    x = 3,428,517.36/2,356.87
  6. Step 6: Final answer
    x = 1,454.69

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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.