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Finding the Fourth Proportional to 2,357.32, 3,533.20 and 969.97

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Solution

The fourth proportional to 2,357.32, 3,533.20 and 969.97 is: 1,453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.32 : 3,533.20 = 969.97 : x
  2. Step 2: Convert to fraction form
    2,357.32/3,533.20 = 969.97/x
  3. Step 3: Cross multiply
    2,357.32x = 3,533.20 × 969.97
  4. Step 4: Simplify right side
    2,357.32x = 3,427,098.00
  5. Step 5: Solve for x
    x = 3,427,098.00/2,357.32
  6. Step 6: Final answer
    x = 1,453.81

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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.