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Finding the Fourth Proportional to 1,395.67, 2,091.91 and 779.66

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Solution

The fourth proportional to 1,395.67, 2,091.91 and 779.66 is: 1,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.67 : 2,091.91 = 779.66 : x
  2. Step 2: Convert to fraction form
    1,395.67/2,091.91 = 779.66/x
  3. Step 3: Cross multiply
    1,395.67x = 2,091.91 × 779.66
  4. Step 4: Simplify right side
    1,395.67x = 1,630,978.55
  5. Step 5: Solve for x
    x = 1,630,978.55/1,395.67
  6. Step 6: Final answer
    x = 1,168.60

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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.