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Finding the Fourth Proportional to 3,450.65, 4,762.01 and 1,958.63

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Solution

The fourth proportional to 3,450.65, 4,762.01 and 1,958.63 is: 2,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.65 : 4,762.01 = 1,958.63 : x
  2. Step 2: Convert to fraction form
    3,450.65/4,762.01 = 1,958.63/x
  3. Step 3: Cross multiply
    3,450.65x = 4,762.01 × 1,958.63
  4. Step 4: Simplify right side
    3,450.65x = 9,326,985.72
  5. Step 5: Solve for x
    x = 9,326,985.72/3,450.65
  6. Step 6: Final answer
    x = 2,702.97

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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.