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Finding the Fourth Proportional to 2,094.14, 3,141.40 and 555.14

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Solution

The fourth proportional to 2,094.14, 3,141.40 and 555.14 is: 832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.14 : 3,141.40 = 555.14 : x
  2. Step 2: Convert to fraction form
    2,094.14/3,141.40 = 555.14/x
  3. Step 3: Cross multiply
    2,094.14x = 3,141.40 × 555.14
  4. Step 4: Simplify right side
    2,094.14x = 1,743,916.80
  5. Step 5: Solve for x
    x = 1,743,916.80/2,094.14
  6. Step 6: Final answer
    x = 832.76

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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.