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Finding the Fourth Proportional to 3,195.93, 4,792.26 and 1,463.07

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Solution

The fourth proportional to 3,195.93, 4,792.26 and 1,463.07 is: 2,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.93 : 4,792.26 = 1,463.07 : x
  2. Step 2: Convert to fraction form
    3,195.93/4,792.26 = 1,463.07/x
  3. Step 3: Cross multiply
    3,195.93x = 4,792.26 × 1,463.07
  4. Step 4: Simplify right side
    3,195.93x = 7,011,411.84
  5. Step 5: Solve for x
    x = 7,011,411.84/3,195.93
  6. Step 6: Final answer
    x = 2,193.86

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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.