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Finding the Fourth Proportional to 2,805.74, 3,870.84 and 1,626.58

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Solution

The fourth proportional to 2,805.74, 3,870.84 and 1,626.58 is: 2,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.74 : 3,870.84 = 1,626.58 : x
  2. Step 2: Convert to fraction form
    2,805.74/3,870.84 = 1,626.58/x
  3. Step 3: Cross multiply
    2,805.74x = 3,870.84 × 1,626.58
  4. Step 4: Simplify right side
    2,805.74x = 6,296,232.72
  5. Step 5: Solve for x
    x = 6,296,232.72/2,805.74
  6. Step 6: Final answer
    x = 2,244.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.