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Finding the Fourth Proportional to 2,094.34, 3,141.42 and 555.34

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Solution

The fourth proportional to 2,094.34, 3,141.42 and 555.34 is: 832.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.34 : 3,141.42 = 555.34 : x
  2. Step 2: Convert to fraction form
    2,094.34/3,141.42 = 555.34/x
  3. Step 3: Cross multiply
    2,094.34x = 3,141.42 × 555.34
  4. Step 4: Simplify right side
    2,094.34x = 1,744,556.18
  5. Step 5: Solve for x
    x = 1,744,556.18/2,094.34
  6. Step 6: Final answer
    x = 832.99

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