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Finding the Fourth Proportional to 2,093.45, 3,137.46 and 859.40

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Solution

The fourth proportional to 2,093.45, 3,137.46 and 859.40 is: 1,287.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.45 : 3,137.46 = 859.40 : x
  2. Step 2: Convert to fraction form
    2,093.45/3,137.46 = 859.40/x
  3. Step 3: Cross multiply
    2,093.45x = 3,137.46 × 859.40
  4. Step 4: Simplify right side
    2,093.45x = 2,696,333.12
  5. Step 5: Solve for x
    x = 2,696,333.12/2,093.45
  6. Step 6: Final answer
    x = 1,287.99

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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.