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Finding the Fourth Proportional to 2,504.68, 3,764.31 and 1,207.06

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Solution

The fourth proportional to 2,504.68, 3,764.31 and 1,207.06 is: 1,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.68 : 3,764.31 = 1,207.06 : x
  2. Step 2: Convert to fraction form
    2,504.68/3,764.31 = 1,207.06/x
  3. Step 3: Cross multiply
    2,504.68x = 3,764.31 × 1,207.06
  4. Step 4: Simplify right side
    2,504.68x = 4,543,748.03
  5. Step 5: Solve for x
    x = 4,543,748.03/2,504.68
  6. Step 6: Final answer
    x = 1,814.10

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Why These Related Problems?

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