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Finding the Fourth Proportional to 2,764.33, 3,814.89 and 1,585.63

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Solution

The fourth proportional to 2,764.33, 3,814.89 and 1,585.63 is: 2,188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.33 : 3,814.89 = 1,585.63 : x
  2. Step 2: Convert to fraction form
    2,764.33/3,814.89 = 1,585.63/x
  3. Step 3: Cross multiply
    2,764.33x = 3,814.89 × 1,585.63
  4. Step 4: Simplify right side
    2,764.33x = 6,049,004.03
  5. Step 5: Solve for x
    x = 6,049,004.03/2,764.33
  6. Step 6: Final answer
    x = 2,188.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.