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Finding the Fourth Proportional to 2,339.69, 3,509.08 and 859.82

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Solution

The fourth proportional to 2,339.69, 3,509.08 and 859.82 is: 1,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.69 : 3,509.08 = 859.82 : x
  2. Step 2: Convert to fraction form
    2,339.69/3,509.08 = 859.82/x
  3. Step 3: Cross multiply
    2,339.69x = 3,509.08 × 859.82
  4. Step 4: Simplify right side
    2,339.69x = 3,017,157.47
  5. Step 5: Solve for x
    x = 3,017,157.47/2,339.69
  6. Step 6: Final answer
    x = 1,289.56

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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.