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Finding the Fourth Proportional to 2,804.75, 3,871.77 and 1,757.42

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Solution

The fourth proportional to 2,804.75, 3,871.77 and 1,757.42 is: 2,426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.75 : 3,871.77 = 1,757.42 : x
  2. Step 2: Convert to fraction form
    2,804.75/3,871.77 = 1,757.42/x
  3. Step 3: Cross multiply
    2,804.75x = 3,871.77 × 1,757.42
  4. Step 4: Simplify right side
    2,804.75x = 6,804,326.03
  5. Step 5: Solve for x
    x = 6,804,326.03/2,804.75
  6. Step 6: Final answer
    x = 2,426.00

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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.