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Finding the Fourth Proportional to 2,529.53, 3,795.47 and 969.02

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Solution

The fourth proportional to 2,529.53, 3,795.47 and 969.02 is: 1,453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.53 : 3,795.47 = 969.02 : x
  2. Step 2: Convert to fraction form
    2,529.53/3,795.47 = 969.02/x
  3. Step 3: Cross multiply
    2,529.53x = 3,795.47 × 969.02
  4. Step 4: Simplify right side
    2,529.53x = 3,677,862.52
  5. Step 5: Solve for x
    x = 3,677,862.52/2,529.53
  6. Step 6: Final answer
    x = 1,453.97

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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.