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Finding the Fourth Proportional to 2,453.54, 3,677.64 and 1,221.86

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Solution

The fourth proportional to 2,453.54, 3,677.64 and 1,221.86 is: 1,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.54 : 3,677.64 = 1,221.86 : x
  2. Step 2: Convert to fraction form
    2,453.54/3,677.64 = 1,221.86/x
  3. Step 3: Cross multiply
    2,453.54x = 3,677.64 × 1,221.86
  4. Step 4: Simplify right side
    2,453.54x = 4,493,561.21
  5. Step 5: Solve for x
    x = 4,493,561.21/2,453.54
  6. Step 6: Final answer
    x = 1,831.46

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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.