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Finding the Fourth Proportional to 2,798.72, 3,861.45 and 1,804.58

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Solution

The fourth proportional to 2,798.72, 3,861.45 and 1,804.58 is: 2,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.72 : 3,861.45 = 1,804.58 : x
  2. Step 2: Convert to fraction form
    2,798.72/3,861.45 = 1,804.58/x
  3. Step 3: Cross multiply
    2,798.72x = 3,861.45 × 1,804.58
  4. Step 4: Simplify right side
    2,798.72x = 6,968,295.44
  5. Step 5: Solve for x
    x = 6,968,295.44/2,798.72
  6. Step 6: Final answer
    x = 2,489.82

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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.