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Finding the Fourth Proportional to 2,674.70, 4,012.74 and 1,114.18

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Solution

The fourth proportional to 2,674.70, 4,012.74 and 1,114.18 is: 1,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.70 : 4,012.74 = 1,114.18 : x
  2. Step 2: Convert to fraction form
    2,674.70/4,012.74 = 1,114.18/x
  3. Step 3: Cross multiply
    2,674.70x = 4,012.74 × 1,114.18
  4. Step 4: Simplify right side
    2,674.70x = 4,470,915.91
  5. Step 5: Solve for x
    x = 4,470,915.91/2,674.70
  6. Step 6: Final answer
    x = 1,671.56

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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.