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Finding the Fourth Proportional to 4,182.70, 6,274.14 and 1,874.20

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Solution

The fourth proportional to 4,182.70, 6,274.14 and 1,874.20 is: 2,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.70 : 6,274.14 = 1,874.20 : x
  2. Step 2: Convert to fraction form
    4,182.70/6,274.14 = 1,874.20/x
  3. Step 3: Cross multiply
    4,182.70x = 6,274.14 × 1,874.20
  4. Step 4: Simplify right side
    4,182.70x = 11,758,993.19
  5. Step 5: Solve for x
    x = 11,758,993.19/4,182.70
  6. Step 6: Final answer
    x = 2,811.34

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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.