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Finding the Fourth Proportional to 3,431.34, 4,735.08 and 2,034

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Solution

The fourth proportional to 3,431.34, 4,735.08 and 2,034 is: 2,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.34 : 4,735.08 = 2,034 : x
  2. Step 2: Convert to fraction form
    3,431.34/4,735.08 = 2,034/x
  3. Step 3: Cross multiply
    3,431.34x = 4,735.08 × 2,034
  4. Step 4: Simplify right side
    3,431.34x = 9,631,152.72
  5. Step 5: Solve for x
    x = 9,631,152.72/3,431.34
  6. Step 6: Final answer
    x = 2,806.82

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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.