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Finding the Fourth Proportional to 2,626.66, 3,939.92 and 1,066.25

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Solution

The fourth proportional to 2,626.66, 3,939.92 and 1,066.25 is: 1,599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.66 : 3,939.92 = 1,066.25 : x
  2. Step 2: Convert to fraction form
    2,626.66/3,939.92 = 1,066.25/x
  3. Step 3: Cross multiply
    2,626.66x = 3,939.92 × 1,066.25
  4. Step 4: Simplify right side
    2,626.66x = 4,200,939.70
  5. Step 5: Solve for x
    x = 4,200,939.70/2,626.66
  6. Step 6: Final answer
    x = 1,599.35

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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.