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Finding the Fourth Proportional to 3,165.65, 4,749.27 and 1,433.81

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Solution

The fourth proportional to 3,165.65, 4,749.27 and 1,433.81 is: 2,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.65 : 4,749.27 = 1,433.81 : x
  2. Step 2: Convert to fraction form
    3,165.65/4,749.27 = 1,433.81/x
  3. Step 3: Cross multiply
    3,165.65x = 4,749.27 × 1,433.81
  4. Step 4: Simplify right side
    3,165.65x = 6,809,550.82
  5. Step 5: Solve for x
    x = 6,809,550.82/3,165.65
  6. Step 6: Final answer
    x = 2,151.08

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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.