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Finding the Fourth Proportional to 2,401.98, 3,603.22 and 670.60

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Solution

The fourth proportional to 2,401.98, 3,603.22 and 670.60 is: 1,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.98 : 3,603.22 = 670.60 : x
  2. Step 2: Convert to fraction form
    2,401.98/3,603.22 = 670.60/x
  3. Step 3: Cross multiply
    2,401.98x = 3,603.22 × 670.60
  4. Step 4: Simplify right side
    2,401.98x = 2,416,319.33
  5. Step 5: Solve for x
    x = 2,416,319.33/2,401.98
  6. Step 6: Final answer
    x = 1,005.97

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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.