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Finding the Fourth Proportional to 3,004.69, 4,146.18 and 1,745.71

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Solution

The fourth proportional to 3,004.69, 4,146.18 and 1,745.71 is: 2,408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.69 : 4,146.18 = 1,745.71 : x
  2. Step 2: Convert to fraction form
    3,004.69/4,146.18 = 1,745.71/x
  3. Step 3: Cross multiply
    3,004.69x = 4,146.18 × 1,745.71
  4. Step 4: Simplify right side
    3,004.69x = 7,238,027.89
  5. Step 5: Solve for x
    x = 7,238,027.89/3,004.69
  6. Step 6: Final answer
    x = 2,408.91

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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.