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Finding the Fourth Proportional to 1,711, 2,561.46 and 1,159.48

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Solution

The fourth proportional to 1,711, 2,561.46 and 1,159.48 is: 1,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711 : 2,561.46 = 1,159.48 : x
  2. Step 2: Convert to fraction form
    1,711/2,561.46 = 1,159.48/x
  3. Step 3: Cross multiply
    1,711x = 2,561.46 × 1,159.48
  4. Step 4: Simplify right side
    1,711x = 2,969,961.64
  5. Step 5: Solve for x
    x = 2,969,961.64/1,711
  6. Step 6: Final answer
    x = 1,735.80

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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.