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Finding the Fourth Proportional to 4,293.81, 6,441.12 and 1,696.14

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Solution

The fourth proportional to 4,293.81, 6,441.12 and 1,696.14 is: 2,544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.81 : 6,441.12 = 1,696.14 : x
  2. Step 2: Convert to fraction form
    4,293.81/6,441.12 = 1,696.14/x
  3. Step 3: Cross multiply
    4,293.81x = 6,441.12 × 1,696.14
  4. Step 4: Simplify right side
    4,293.81x = 10,925,041.28
  5. Step 5: Solve for x
    x = 10,925,041.28/4,293.81
  6. Step 6: Final answer
    x = 2,544.37

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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.