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Finding the Fourth Proportional to 3,390.86, 5,082.80 and 1,633.28

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Solution

The fourth proportional to 3,390.86, 5,082.80 and 1,633.28 is: 2,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.86 : 5,082.80 = 1,633.28 : x
  2. Step 2: Convert to fraction form
    3,390.86/5,082.80 = 1,633.28/x
  3. Step 3: Cross multiply
    3,390.86x = 5,082.80 × 1,633.28
  4. Step 4: Simplify right side
    3,390.86x = 8,301,614.25
  5. Step 5: Solve for x
    x = 8,301,614.25/3,390.86
  6. Step 6: Final answer
    x = 2,448.24

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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.