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Finding the Fourth Proportional to 1,768.77, 2,647.95 and 1,308.60

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Solution

The fourth proportional to 1,768.77, 2,647.95 and 1,308.60 is: 1,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.77 : 2,647.95 = 1,308.60 : x
  2. Step 2: Convert to fraction form
    1,768.77/2,647.95 = 1,308.60/x
  3. Step 3: Cross multiply
    1,768.77x = 2,647.95 × 1,308.60
  4. Step 4: Simplify right side
    1,768.77x = 3,465,107.37
  5. Step 5: Solve for x
    x = 3,465,107.37/1,768.77
  6. Step 6: Final answer
    x = 1,959.05

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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.