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Finding the Fourth Proportional to 2,735.53, 4,105.45 and 1,004.65

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Solution

The fourth proportional to 2,735.53, 4,105.45 and 1,004.65 is: 1,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.53 : 4,105.45 = 1,004.65 : x
  2. Step 2: Convert to fraction form
    2,735.53/4,105.45 = 1,004.65/x
  3. Step 3: Cross multiply
    2,735.53x = 4,105.45 × 1,004.65
  4. Step 4: Simplify right side
    2,735.53x = 4,124,519.82
  5. Step 5: Solve for x
    x = 4,124,519.82/2,735.53
  6. Step 6: Final answer
    x = 1,507.76

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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.