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Finding the Fourth Proportional to 1,533.44, 2,309.90 and 1,494.56

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Solution

The fourth proportional to 1,533.44, 2,309.90 and 1,494.56 is: 2,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.44 : 2,309.90 = 1,494.56 : x
  2. Step 2: Convert to fraction form
    1,533.44/2,309.90 = 1,494.56/x
  3. Step 3: Cross multiply
    1,533.44x = 2,309.90 × 1,494.56
  4. Step 4: Simplify right side
    1,533.44x = 3,452,284.14
  5. Step 5: Solve for x
    x = 3,452,284.14/1,533.44
  6. Step 6: Final answer
    x = 2,251.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.