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Finding the Fourth Proportional to 3,065.44, 4,596.17 and 1,311.59

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Solution

The fourth proportional to 3,065.44, 4,596.17 and 1,311.59 is: 1,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.44 : 4,596.17 = 1,311.59 : x
  2. Step 2: Convert to fraction form
    3,065.44/4,596.17 = 1,311.59/x
  3. Step 3: Cross multiply
    3,065.44x = 4,596.17 × 1,311.59
  4. Step 4: Simplify right side
    3,065.44x = 6,028,270.91
  5. Step 5: Solve for x
    x = 6,028,270.91/3,065.44
  6. Step 6: Final answer
    x = 1,966.53

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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.