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Finding the Fourth Proportional to 1,559.70, 2,339.53 and 1,481.83

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Solution

The fourth proportional to 1,559.70, 2,339.53 and 1,481.83 is: 2,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.70 : 2,339.53 = 1,481.83 : x
  2. Step 2: Convert to fraction form
    1,559.70/2,339.53 = 1,481.83/x
  3. Step 3: Cross multiply
    1,559.70x = 2,339.53 × 1,481.83
  4. Step 4: Simplify right side
    1,559.70x = 3,466,785.74
  5. Step 5: Solve for x
    x = 3,466,785.74/1,559.70
  6. Step 6: Final answer
    x = 2,222.73

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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.