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Finding the Fourth Proportional to 2,453.37, 3,681.45 and 1,414.86

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Solution

The fourth proportional to 2,453.37, 3,681.45 and 1,414.86 is: 2,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.37 : 3,681.45 = 1,414.86 : x
  2. Step 2: Convert to fraction form
    2,453.37/3,681.45 = 1,414.86/x
  3. Step 3: Cross multiply
    2,453.37x = 3,681.45 × 1,414.86
  4. Step 4: Simplify right side
    2,453.37x = 5,208,736.35
  5. Step 5: Solve for x
    x = 5,208,736.35/2,453.37
  6. Step 6: Final answer
    x = 2,123.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.