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Finding the Fourth Proportional to 2,764.36, 3,814.84 and 1,585.44

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Solution

The fourth proportional to 2,764.36, 3,814.84 and 1,585.44 is: 2,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.36 : 3,814.84 = 1,585.44 : x
  2. Step 2: Convert to fraction form
    2,764.36/3,814.84 = 1,585.44/x
  3. Step 3: Cross multiply
    2,764.36x = 3,814.84 × 1,585.44
  4. Step 4: Simplify right side
    2,764.36x = 6,048,199.93
  5. Step 5: Solve for x
    x = 6,048,199.93/2,764.36
  6. Step 6: Final answer
    x = 2,187.92

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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.