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Finding the Fourth Proportional to 2,708.81, 3,738.16 and 1,466.81

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Solution

The fourth proportional to 2,708.81, 3,738.16 and 1,466.81 is: 2,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.81 : 3,738.16 = 1,466.81 : x
  2. Step 2: Convert to fraction form
    2,708.81/3,738.16 = 1,466.81/x
  3. Step 3: Cross multiply
    2,708.81x = 3,738.16 × 1,466.81
  4. Step 4: Simplify right side
    2,708.81x = 5,483,181.65
  5. Step 5: Solve for x
    x = 5,483,181.65/2,708.81
  6. Step 6: Final answer
    x = 2,024.20

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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.