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Finding the Fourth Proportional to 1,930.22, 2,893.56 and 697.34

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Solution

The fourth proportional to 1,930.22, 2,893.56 and 697.34 is: 1,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.22 : 2,893.56 = 697.34 : x
  2. Step 2: Convert to fraction form
    1,930.22/2,893.56 = 697.34/x
  3. Step 3: Cross multiply
    1,930.22x = 2,893.56 × 697.34
  4. Step 4: Simplify right side
    1,930.22x = 2,017,795.13
  5. Step 5: Solve for x
    x = 2,017,795.13/1,930.22
  6. Step 6: Final answer
    x = 1,045.37

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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.