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Finding the Fourth Proportional to 2,764.44, 3,814.49 and 1,585.29

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Solution

The fourth proportional to 2,764.44, 3,814.49 and 1,585.29 is: 2,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.44 : 3,814.49 = 1,585.29 : x
  2. Step 2: Convert to fraction form
    2,764.44/3,814.49 = 1,585.29/x
  3. Step 3: Cross multiply
    2,764.44x = 3,814.49 × 1,585.29
  4. Step 4: Simplify right side
    2,764.44x = 6,047,064.93
  5. Step 5: Solve for x
    x = 6,047,064.93/2,764.44
  6. Step 6: Final answer
    x = 2,187.45

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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.