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Finding the Fourth Proportional to 1,785.56, 2,675.82 and 1,319.66

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Solution

The fourth proportional to 1,785.56, 2,675.82 and 1,319.66 is: 1,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.56 : 2,675.82 = 1,319.66 : x
  2. Step 2: Convert to fraction form
    1,785.56/2,675.82 = 1,319.66/x
  3. Step 3: Cross multiply
    1,785.56x = 2,675.82 × 1,319.66
  4. Step 4: Simplify right side
    1,785.56x = 3,531,172.62
  5. Step 5: Solve for x
    x = 3,531,172.62/1,785.56
  6. Step 6: Final answer
    x = 1,977.63

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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.