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Finding the Fourth Proportional to 1,754.42, 2,634.86 and 1,177.70

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Solution

The fourth proportional to 1,754.42, 2,634.86 and 1,177.70 is: 1,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.42 : 2,634.86 = 1,177.70 : x
  2. Step 2: Convert to fraction form
    1,754.42/2,634.86 = 1,177.70/x
  3. Step 3: Cross multiply
    1,754.42x = 2,634.86 × 1,177.70
  4. Step 4: Simplify right side
    1,754.42x = 3,103,074.62
  5. Step 5: Solve for x
    x = 3,103,074.62/1,754.42
  6. Step 6: Final answer
    x = 1,768.72

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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.