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Finding the Fourth Proportional to 2,805.42, 3,870.18 and 1,626.18

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Solution

The fourth proportional to 2,805.42, 3,870.18 and 1,626.18 is: 2,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.42 : 3,870.18 = 1,626.18 : x
  2. Step 2: Convert to fraction form
    2,805.42/3,870.18 = 1,626.18/x
  3. Step 3: Cross multiply
    2,805.42x = 3,870.18 × 1,626.18
  4. Step 4: Simplify right side
    2,805.42x = 6,293,609.31
  5. Step 5: Solve for x
    x = 6,293,609.31/2,805.42
  6. Step 6: Final answer
    x = 2,243.38

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Why These Related Problems?

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