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Finding the Fourth Proportional to 3,106.49, 4,655.16 and 2,449.94

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Solution

The fourth proportional to 3,106.49, 4,655.16 and 2,449.94 is: 3,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.49 : 4,655.16 = 2,449.94 : x
  2. Step 2: Convert to fraction form
    3,106.49/4,655.16 = 2,449.94/x
  3. Step 3: Cross multiply
    3,106.49x = 4,655.16 × 2,449.94
  4. Step 4: Simplify right side
    3,106.49x = 11,404,839.41
  5. Step 5: Solve for x
    x = 11,404,839.41/3,106.49
  6. Step 6: Final answer
    x = 3,671.30

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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.