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Finding the Fourth Proportional to 1,764.45, 2,430.33 and 1,633.08

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Solution

The fourth proportional to 1,764.45, 2,430.33 and 1,633.08 is: 2,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.45 : 2,430.33 = 1,633.08 : x
  2. Step 2: Convert to fraction form
    1,764.45/2,430.33 = 1,633.08/x
  3. Step 3: Cross multiply
    1,764.45x = 2,430.33 × 1,633.08
  4. Step 4: Simplify right side
    1,764.45x = 3,968,923.32
  5. Step 5: Solve for x
    x = 3,968,923.32/1,764.45
  6. Step 6: Final answer
    x = 2,249.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.