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Finding the Fourth Proportional to 1,704.44, 2,350.82 and 1,284.86

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Solution

The fourth proportional to 1,704.44, 2,350.82 and 1,284.86 is: 1,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.44 : 2,350.82 = 1,284.86 : x
  2. Step 2: Convert to fraction form
    1,704.44/2,350.82 = 1,284.86/x
  3. Step 3: Cross multiply
    1,704.44x = 2,350.82 × 1,284.86
  4. Step 4: Simplify right side
    1,704.44x = 3,020,483.67
  5. Step 5: Solve for x
    x = 3,020,483.67/1,704.44
  6. Step 6: Final answer
    x = 1,772.12

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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.