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Finding the Fourth Proportional to 2,169.01, 3,245.96 and 1,774.45

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Solution

The fourth proportional to 2,169.01, 3,245.96 and 1,774.45 is: 2,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.01 : 3,245.96 = 1,774.45 : x
  2. Step 2: Convert to fraction form
    2,169.01/3,245.96 = 1,774.45/x
  3. Step 3: Cross multiply
    2,169.01x = 3,245.96 × 1,774.45
  4. Step 4: Simplify right side
    2,169.01x = 5,759,784.85
  5. Step 5: Solve for x
    x = 5,759,784.85/2,169.01
  6. Step 6: Final answer
    x = 2,655.49

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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.