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Finding the Fourth Proportional to 2,143.99, 2,960.36 and 1,645.84

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Solution

The fourth proportional to 2,143.99, 2,960.36 and 1,645.84 is: 2,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.99 : 2,960.36 = 1,645.84 : x
  2. Step 2: Convert to fraction form
    2,143.99/2,960.36 = 1,645.84/x
  3. Step 3: Cross multiply
    2,143.99x = 2,960.36 × 1,645.84
  4. Step 4: Simplify right side
    2,143.99x = 4,872,278.90
  5. Step 5: Solve for x
    x = 4,872,278.90/2,143.99
  6. Step 6: Final answer
    x = 2,272.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.