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Finding the Fourth Proportional to 4,689, 7,033.32 and 1,179.05

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Solution

The fourth proportional to 4,689, 7,033.32 and 1,179.05 is: 1,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689 : 7,033.32 = 1,179.05 : x
  2. Step 2: Convert to fraction form
    4,689/7,033.32 = 1,179.05/x
  3. Step 3: Cross multiply
    4,689x = 7,033.32 × 1,179.05
  4. Step 4: Simplify right side
    4,689x = 8,292,600.78
  5. Step 5: Solve for x
    x = 8,292,600.78/4,689
  6. Step 6: Final answer
    x = 1,768.52

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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.