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Finding the Fourth Proportional to 2,782.53, 4,173.75 and 2,007.48

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Solution

The fourth proportional to 2,782.53, 4,173.75 and 2,007.48 is: 3,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.53 : 4,173.75 = 2,007.48 : x
  2. Step 2: Convert to fraction form
    2,782.53/4,173.75 = 2,007.48/x
  3. Step 3: Cross multiply
    2,782.53x = 4,173.75 × 2,007.48
  4. Step 4: Simplify right side
    2,782.53x = 8,378,719.65
  5. Step 5: Solve for x
    x = 8,378,719.65/2,782.53
  6. Step 6: Final answer
    x = 3,011.19

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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.