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Finding the Fourth Proportional to 2,709.18, 4,062.33 and 859.80

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Solution

The fourth proportional to 2,709.18, 4,062.33 and 859.80 is: 1,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.18 : 4,062.33 = 859.80 : x
  2. Step 2: Convert to fraction form
    2,709.18/4,062.33 = 859.80/x
  3. Step 3: Cross multiply
    2,709.18x = 4,062.33 × 859.80
  4. Step 4: Simplify right side
    2,709.18x = 3,492,791.33
  5. Step 5: Solve for x
    x = 3,492,791.33/2,709.18
  6. Step 6: Final answer
    x = 1,289.24

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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.