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Finding the Fourth Proportional to 2,449.09, 3,673.20 and 1,114.58

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Solution

The fourth proportional to 2,449.09, 3,673.20 and 1,114.58 is: 1,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.09 : 3,673.20 = 1,114.58 : x
  2. Step 2: Convert to fraction form
    2,449.09/3,673.20 = 1,114.58/x
  3. Step 3: Cross multiply
    2,449.09x = 3,673.20 × 1,114.58
  4. Step 4: Simplify right side
    2,449.09x = 4,094,056.89
  5. Step 5: Solve for x
    x = 4,094,056.89/2,449.09
  6. Step 6: Final answer
    x = 1,671.66

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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.