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Finding the Fourth Proportional to 3,311.34, 4,568.06 and 1,984.79

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Solution

The fourth proportional to 3,311.34, 4,568.06 and 1,984.79 is: 2,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.34 : 4,568.06 = 1,984.79 : x
  2. Step 2: Convert to fraction form
    3,311.34/4,568.06 = 1,984.79/x
  3. Step 3: Cross multiply
    3,311.34x = 4,568.06 × 1,984.79
  4. Step 4: Simplify right side
    3,311.34x = 9,066,639.81
  5. Step 5: Solve for x
    x = 9,066,639.81/3,311.34
  6. Step 6: Final answer
    x = 2,738.06

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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.