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Finding the Fourth Proportional to 3,005.49, 4,146.90 and 1,745.84

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Solution

The fourth proportional to 3,005.49, 4,146.90 and 1,745.84 is: 2,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.49 : 4,146.90 = 1,745.84 : x
  2. Step 2: Convert to fraction form
    3,005.49/4,146.90 = 1,745.84/x
  3. Step 3: Cross multiply
    3,005.49x = 4,146.90 × 1,745.84
  4. Step 4: Simplify right side
    3,005.49x = 7,239,803.16
  5. Step 5: Solve for x
    x = 7,239,803.16/3,005.49
  6. Step 6: Final answer
    x = 2,408.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.