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Finding the Fourth Proportional to 2,859.96, 4,284.24 and 1,394.68

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Solution

The fourth proportional to 2,859.96, 4,284.24 and 1,394.68 is: 2,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.96 : 4,284.24 = 1,394.68 : x
  2. Step 2: Convert to fraction form
    2,859.96/4,284.24 = 1,394.68/x
  3. Step 3: Cross multiply
    2,859.96x = 4,284.24 × 1,394.68
  4. Step 4: Simplify right side
    2,859.96x = 5,975,143.84
  5. Step 5: Solve for x
    x = 5,975,143.84/2,859.96
  6. Step 6: Final answer
    x = 2,089.24

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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.