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Finding the Fourth Proportional to 4,309.75, 6,465.00 and 1,189.76

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Solution

The fourth proportional to 4,309.75, 6,465.00 and 1,189.76 is: 1,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.75 : 6,465.00 = 1,189.76 : x
  2. Step 2: Convert to fraction form
    4,309.75/6,465.00 = 1,189.76/x
  3. Step 3: Cross multiply
    4,309.75x = 6,465.00 × 1,189.76
  4. Step 4: Simplify right side
    4,309.75x = 7,691,801.37
  5. Step 5: Solve for x
    x = 7,691,801.37/4,309.75
  6. Step 6: Final answer
    x = 1,784.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.