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Finding the Fourth Proportional to 4,469.63, 6,703.92 and 1,182.98

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Solution

The fourth proportional to 4,469.63, 6,703.92 and 1,182.98 is: 1,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.63 : 6,703.92 = 1,182.98 : x
  2. Step 2: Convert to fraction form
    4,469.63/6,703.92 = 1,182.98/x
  3. Step 3: Cross multiply
    4,469.63x = 6,703.92 × 1,182.98
  4. Step 4: Simplify right side
    4,469.63x = 7,930,603.28
  5. Step 5: Solve for x
    x = 7,930,603.28/4,469.63
  6. Step 6: Final answer
    x = 1,774.33

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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.