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Finding the Fourth Proportional to 1,462.94, 2,183.98 and 1,411.68

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Solution

The fourth proportional to 1,462.94, 2,183.98 and 1,411.68 is: 2,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.94 : 2,183.98 = 1,411.68 : x
  2. Step 2: Convert to fraction form
    1,462.94/2,183.98 = 1,411.68/x
  3. Step 3: Cross multiply
    1,462.94x = 2,183.98 × 1,411.68
  4. Step 4: Simplify right side
    1,462.94x = 3,083,080.89
  5. Step 5: Solve for x
    x = 3,083,080.89/1,462.94
  6. Step 6: Final answer
    x = 2,107.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.