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Finding the Fourth Proportional to 1,804.27, 2,489.72 and 1,047.84

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Solution

The fourth proportional to 1,804.27, 2,489.72 and 1,047.84 is: 1,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.27 : 2,489.72 = 1,047.84 : x
  2. Step 2: Convert to fraction form
    1,804.27/2,489.72 = 1,047.84/x
  3. Step 3: Cross multiply
    1,804.27x = 2,489.72 × 1,047.84
  4. Step 4: Simplify right side
    1,804.27x = 2,608,822.97
  5. Step 5: Solve for x
    x = 2,608,822.97/1,804.27
  6. Step 6: Final answer
    x = 1,445.92

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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.