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Finding the Fourth Proportional to 2,401.06, 3,602.94 and 1,102.64

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Solution

The fourth proportional to 2,401.06, 3,602.94 and 1,102.64 is: 1,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.06 : 3,602.94 = 1,102.64 : x
  2. Step 2: Convert to fraction form
    2,401.06/3,602.94 = 1,102.64/x
  3. Step 3: Cross multiply
    2,401.06x = 3,602.94 × 1,102.64
  4. Step 4: Simplify right side
    2,401.06x = 3,972,745.76
  5. Step 5: Solve for x
    x = 3,972,745.76/2,401.06
  6. Step 6: Final answer
    x = 1,654.58

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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.