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Finding the Fourth Proportional to 2,428.41, 3,643.76 and 1,196.86

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Solution

The fourth proportional to 2,428.41, 3,643.76 and 1,196.86 is: 1,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.41 : 3,643.76 = 1,196.86 : x
  2. Step 2: Convert to fraction form
    2,428.41/3,643.76 = 1,196.86/x
  3. Step 3: Cross multiply
    2,428.41x = 3,643.76 × 1,196.86
  4. Step 4: Simplify right side
    2,428.41x = 4,361,064.61
  5. Step 5: Solve for x
    x = 4,361,064.61/2,428.41
  6. Step 6: Final answer
    x = 1,795.85

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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.