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Finding the Fourth Proportional to 2,325.95, 3,484.77 and 1,227.86

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Solution

The fourth proportional to 2,325.95, 3,484.77 and 1,227.86 is: 1,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.95 : 3,484.77 = 1,227.86 : x
  2. Step 2: Convert to fraction form
    2,325.95/3,484.77 = 1,227.86/x
  3. Step 3: Cross multiply
    2,325.95x = 3,484.77 × 1,227.86
  4. Step 4: Simplify right side
    2,325.95x = 4,278,809.69
  5. Step 5: Solve for x
    x = 4,278,809.69/2,325.95
  6. Step 6: Final answer
    x = 1,839.60

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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.