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Finding the Fourth Proportional to 3,165.70, 4,748.62 and 1,085.69

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Solution

The fourth proportional to 3,165.70, 4,748.62 and 1,085.69 is: 1,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.70 : 4,748.62 = 1,085.69 : x
  2. Step 2: Convert to fraction form
    3,165.70/4,748.62 = 1,085.69/x
  3. Step 3: Cross multiply
    3,165.70x = 4,748.62 × 1,085.69
  4. Step 4: Simplify right side
    3,165.70x = 5,155,529.25
  5. Step 5: Solve for x
    x = 5,155,529.25/3,165.70
  6. Step 6: Final answer
    x = 1,628.56

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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.