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Finding the Fourth Proportional to 2,046.15, 3,068.70 and 949.44

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Solution

The fourth proportional to 2,046.15, 3,068.70 and 949.44 is: 1,423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.15 : 3,068.70 = 949.44 : x
  2. Step 2: Convert to fraction form
    2,046.15/3,068.70 = 949.44/x
  3. Step 3: Cross multiply
    2,046.15x = 3,068.70 × 949.44
  4. Step 4: Simplify right side
    2,046.15x = 2,913,546.53
  5. Step 5: Solve for x
    x = 2,913,546.53/2,046.15
  6. Step 6: Final answer
    x = 1,423.92

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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.