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Finding the Fourth Proportional to 1,937.96, 2,906.31 and 551.24

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Solution

The fourth proportional to 1,937.96, 2,906.31 and 551.24 is: 826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.96 : 2,906.31 = 551.24 : x
  2. Step 2: Convert to fraction form
    1,937.96/2,906.31 = 551.24/x
  3. Step 3: Cross multiply
    1,937.96x = 2,906.31 × 551.24
  4. Step 4: Simplify right side
    1,937.96x = 1,602,074.32
  5. Step 5: Solve for x
    x = 1,602,074.32/1,937.96
  6. Step 6: Final answer
    x = 826.68

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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.