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Finding the Fourth Proportional to 1,857.53, 2,562.37 and 1,194.48

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Solution

The fourth proportional to 1,857.53, 2,562.37 and 1,194.48 is: 1,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.53 : 2,562.37 = 1,194.48 : x
  2. Step 2: Convert to fraction form
    1,857.53/2,562.37 = 1,194.48/x
  3. Step 3: Cross multiply
    1,857.53x = 2,562.37 × 1,194.48
  4. Step 4: Simplify right side
    1,857.53x = 3,060,699.72
  5. Step 5: Solve for x
    x = 3,060,699.72/1,857.53
  6. Step 6: Final answer
    x = 1,647.73

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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.