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Finding the Fourth Proportional to 2,320.56, 3,481.06 and 859.36

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Solution

The fourth proportional to 2,320.56, 3,481.06 and 859.36 is: 1,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.56 : 3,481.06 = 859.36 : x
  2. Step 2: Convert to fraction form
    2,320.56/3,481.06 = 859.36/x
  3. Step 3: Cross multiply
    2,320.56x = 3,481.06 × 859.36
  4. Step 4: Simplify right side
    2,320.56x = 2,991,483.72
  5. Step 5: Solve for x
    x = 2,991,483.72/2,320.56
  6. Step 6: Final answer
    x = 1,289.12

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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.