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Finding the Fourth Proportional to 2,805.39, 3,870.59 and 1,626.24

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Solution

The fourth proportional to 2,805.39, 3,870.59 and 1,626.24 is: 2,243.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.39 : 3,870.59 = 1,626.24 : x
  2. Step 2: Convert to fraction form
    2,805.39/3,870.59 = 1,626.24/x
  3. Step 3: Cross multiply
    2,805.39x = 3,870.59 × 1,626.24
  4. Step 4: Simplify right side
    2,805.39x = 6,294,508.28
  5. Step 5: Solve for x
    x = 6,294,508.28/2,805.39
  6. Step 6: Final answer
    x = 2,243.72

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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.