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Finding the Fourth Proportional to 2,401.63, 3,603.05 and 670.25

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Solution

The fourth proportional to 2,401.63, 3,603.05 and 670.25 is: 1,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.63 : 3,603.05 = 670.25 : x
  2. Step 2: Convert to fraction form
    2,401.63/3,603.05 = 670.25/x
  3. Step 3: Cross multiply
    2,401.63x = 3,603.05 × 670.25
  4. Step 4: Simplify right side
    2,401.63x = 2,414,944.26
  5. Step 5: Solve for x
    x = 2,414,944.26/2,401.63
  6. Step 6: Final answer
    x = 1,005.54

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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.