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Finding the Fourth Proportional to 2,856.25, 3,941.53 and 1,661.33

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Solution

The fourth proportional to 2,856.25, 3,941.53 and 1,661.33 is: 2,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.25 : 3,941.53 = 1,661.33 : x
  2. Step 2: Convert to fraction form
    2,856.25/3,941.53 = 1,661.33/x
  3. Step 3: Cross multiply
    2,856.25x = 3,941.53 × 1,661.33
  4. Step 4: Simplify right side
    2,856.25x = 6,548,182.03
  5. Step 5: Solve for x
    x = 6,548,182.03/2,856.25
  6. Step 6: Final answer
    x = 2,292.58

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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.