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Finding the Fourth Proportional to 1,825.92, 2,519.64 and 1,433.88

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Solution

The fourth proportional to 1,825.92, 2,519.64 and 1,433.88 is: 1,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.92 : 2,519.64 = 1,433.88 : x
  2. Step 2: Convert to fraction form
    1,825.92/2,519.64 = 1,433.88/x
  3. Step 3: Cross multiply
    1,825.92x = 2,519.64 × 1,433.88
  4. Step 4: Simplify right side
    1,825.92x = 3,612,861.40
  5. Step 5: Solve for x
    x = 3,612,861.40/1,825.92
  6. Step 6: Final answer
    x = 1,978.65

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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.