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Finding the Fourth Proportional to 2,093.94, 3,143.80 and 1,358.16

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Solution

The fourth proportional to 2,093.94, 3,143.80 and 1,358.16 is: 2,039.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.94 : 3,143.80 = 1,358.16 : x
  2. Step 2: Convert to fraction form
    2,093.94/3,143.80 = 1,358.16/x
  3. Step 3: Cross multiply
    2,093.94x = 3,143.80 × 1,358.16
  4. Step 4: Simplify right side
    2,093.94x = 4,269,783.41
  5. Step 5: Solve for x
    x = 4,269,783.41/2,093.94
  6. Step 6: Final answer
    x = 2,039.11

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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.