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Finding the Fourth Proportional to 2,764.32, 3,810.36 and 2,174.08

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Solution

The fourth proportional to 2,764.32, 3,810.36 and 2,174.08 is: 2,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.32 : 3,810.36 = 2,174.08 : x
  2. Step 2: Convert to fraction form
    2,764.32/3,810.36 = 2,174.08/x
  3. Step 3: Cross multiply
    2,764.32x = 3,810.36 × 2,174.08
  4. Step 4: Simplify right side
    2,764.32x = 8,284,027.47
  5. Step 5: Solve for x
    x = 8,284,027.47/2,764.32
  6. Step 6: Final answer
    x = 2,996.77

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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.