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Finding the Fourth Proportional to 4,309.60, 6,464.44 and 1,189.66

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Solution

The fourth proportional to 4,309.60, 6,464.44 and 1,189.66 is: 1,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.60 : 6,464.44 = 1,189.66 : x
  2. Step 2: Convert to fraction form
    4,309.60/6,464.44 = 1,189.66/x
  3. Step 3: Cross multiply
    4,309.60x = 6,464.44 × 1,189.66
  4. Step 4: Simplify right side
    4,309.60x = 7,690,485.69
  5. Step 5: Solve for x
    x = 7,690,485.69/4,309.60
  6. Step 6: Final answer
    x = 1,784.50

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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.