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Finding the Fourth Proportional to 2,641.96, 3,646.49 and 1,745.85

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Solution

The fourth proportional to 2,641.96, 3,646.49 and 1,745.85 is: 2,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.96 : 3,646.49 = 1,745.85 : x
  2. Step 2: Convert to fraction form
    2,641.96/3,646.49 = 1,745.85/x
  3. Step 3: Cross multiply
    2,641.96x = 3,646.49 × 1,745.85
  4. Step 4: Simplify right side
    2,641.96x = 6,366,229.51
  5. Step 5: Solve for x
    x = 6,366,229.51/2,641.96
  6. Step 6: Final answer
    x = 2,409.66

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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.