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Finding the Fourth Proportional to 2,094.19, 3,143.41 and 862.31

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Solution

The fourth proportional to 2,094.19, 3,143.41 and 862.31 is: 1,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.19 : 3,143.41 = 862.31 : x
  2. Step 2: Convert to fraction form
    2,094.19/3,143.41 = 862.31/x
  3. Step 3: Cross multiply
    2,094.19x = 3,143.41 × 862.31
  4. Step 4: Simplify right side
    2,094.19x = 2,710,599.58
  5. Step 5: Solve for x
    x = 2,710,599.58/2,094.19
  6. Step 6: Final answer
    x = 1,294.34

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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.