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Finding the Fourth Proportional to 2,913.82, 4,366.50 and 1,596.46

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Solution

The fourth proportional to 2,913.82, 4,366.50 and 1,596.46 is: 2,392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.82 : 4,366.50 = 1,596.46 : x
  2. Step 2: Convert to fraction form
    2,913.82/4,366.50 = 1,596.46/x
  3. Step 3: Cross multiply
    2,913.82x = 4,366.50 × 1,596.46
  4. Step 4: Simplify right side
    2,913.82x = 6,970,942.59
  5. Step 5: Solve for x
    x = 6,970,942.59/2,913.82
  6. Step 6: Final answer
    x = 2,392.37

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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.