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Finding the Fourth Proportional to 2,094.81, 3,142.17 and 534.83

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Solution

The fourth proportional to 2,094.81, 3,142.17 and 534.83 is: 802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.81 : 3,142.17 = 534.83 : x
  2. Step 2: Convert to fraction form
    2,094.81/3,142.17 = 534.83/x
  3. Step 3: Cross multiply
    2,094.81x = 3,142.17 × 534.83
  4. Step 4: Simplify right side
    2,094.81x = 1,680,512.32
  5. Step 5: Solve for x
    x = 1,680,512.32/2,094.81
  6. Step 6: Final answer
    x = 802.23

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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.