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Finding the Fourth Proportional to 2,453.64, 3,382.44 and 1,753.80

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Solution

The fourth proportional to 2,453.64, 3,382.44 and 1,753.80 is: 2,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.64 : 3,382.44 = 1,753.80 : x
  2. Step 2: Convert to fraction form
    2,453.64/3,382.44 = 1,753.80/x
  3. Step 3: Cross multiply
    2,453.64x = 3,382.44 × 1,753.80
  4. Step 4: Simplify right side
    2,453.64x = 5,932,123.27
  5. Step 5: Solve for x
    x = 5,932,123.27/2,453.64
  6. Step 6: Final answer
    x = 2,417.68

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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.