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Finding the Fourth Proportional to 1,954.35, 2,930.42 and 1,723.77

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Solution

The fourth proportional to 1,954.35, 2,930.42 and 1,723.77 is: 2,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.35 : 2,930.42 = 1,723.77 : x
  2. Step 2: Convert to fraction form
    1,954.35/2,930.42 = 1,723.77/x
  3. Step 3: Cross multiply
    1,954.35x = 2,930.42 × 1,723.77
  4. Step 4: Simplify right side
    1,954.35x = 5,051,374.39
  5. Step 5: Solve for x
    x = 5,051,374.39/1,954.35
  6. Step 6: Final answer
    x = 2,584.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.