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Finding the Fourth Proportional to 1,759.43, 2,643.26 and 1,513.40

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Solution

The fourth proportional to 1,759.43, 2,643.26 and 1,513.40 is: 2,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.43 : 2,643.26 = 1,513.40 : x
  2. Step 2: Convert to fraction form
    1,759.43/2,643.26 = 1,513.40/x
  3. Step 3: Cross multiply
    1,759.43x = 2,643.26 × 1,513.40
  4. Step 4: Simplify right side
    1,759.43x = 4,000,288.90
  5. Step 5: Solve for x
    x = 4,000,288.90/1,759.43
  6. Step 6: Final answer
    x = 2,273.62

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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.