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Finding the Fourth Proportional to 1,462.99, 2,184.07 and 1,411.73

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Solution

The fourth proportional to 1,462.99, 2,184.07 and 1,411.73 is: 2,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.99 : 2,184.07 = 1,411.73 : x
  2. Step 2: Convert to fraction form
    1,462.99/2,184.07 = 1,411.73/x
  3. Step 3: Cross multiply
    1,462.99x = 2,184.07 × 1,411.73
  4. Step 4: Simplify right side
    1,462.99x = 3,083,317.14
  5. Step 5: Solve for x
    x = 3,083,317.14/1,462.99
  6. Step 6: Final answer
    x = 2,107.54

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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.