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Finding the Fourth Proportional to 2,857.48, 3,945.11 and 1,865.53

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Solution

The fourth proportional to 2,857.48, 3,945.11 and 1,865.53 is: 2,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.48 : 3,945.11 = 1,865.53 : x
  2. Step 2: Convert to fraction form
    2,857.48/3,945.11 = 1,865.53/x
  3. Step 3: Cross multiply
    2,857.48x = 3,945.11 × 1,865.53
  4. Step 4: Simplify right side
    2,857.48x = 7,359,716.66
  5. Step 5: Solve for x
    x = 7,359,716.66/2,857.48
  6. Step 6: Final answer
    x = 2,575.60

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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.