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Finding the Fourth Proportional to 1,453.51, 2,183.23 and 960.64

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Solution

The fourth proportional to 1,453.51, 2,183.23 and 960.64 is: 1,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.51 : 2,183.23 = 960.64 : x
  2. Step 2: Convert to fraction form
    1,453.51/2,183.23 = 960.64/x
  3. Step 3: Cross multiply
    1,453.51x = 2,183.23 × 960.64
  4. Step 4: Simplify right side
    1,453.51x = 2,097,298.07
  5. Step 5: Solve for x
    x = 2,097,298.07/1,453.51
  6. Step 6: Final answer
    x = 1,442.92

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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.