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Finding the Fourth Proportional to 2,419.91, 3,629.88 and 859.94

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Solution

The fourth proportional to 2,419.91, 3,629.88 and 859.94 is: 1,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.91 : 3,629.88 = 859.94 : x
  2. Step 2: Convert to fraction form
    2,419.91/3,629.88 = 859.94/x
  3. Step 3: Cross multiply
    2,419.91x = 3,629.88 × 859.94
  4. Step 4: Simplify right side
    2,419.91x = 3,121,460.86
  5. Step 5: Solve for x
    x = 3,121,460.86/2,419.91
  6. Step 6: Final answer
    x = 1,289.91

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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.