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Finding the Fourth Proportional to 2,356.14, 3,533.80 and 969.82

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Solution

The fourth proportional to 2,356.14, 3,533.80 and 969.82 is: 1,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.14 : 3,533.80 = 969.82 : x
  2. Step 2: Convert to fraction form
    2,356.14/3,533.80 = 969.82/x
  3. Step 3: Cross multiply
    2,356.14x = 3,533.80 × 969.82
  4. Step 4: Simplify right side
    2,356.14x = 3,427,149.92
  5. Step 5: Solve for x
    x = 3,427,149.92/2,356.14
  6. Step 6: Final answer
    x = 1,454.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.