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Finding the Fourth Proportional to 2,341.82, 3,232.80 and 2,021.54

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Solution

The fourth proportional to 2,341.82, 3,232.80 and 2,021.54 is: 2,790.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.82 : 3,232.80 = 2,021.54 : x
  2. Step 2: Convert to fraction form
    2,341.82/3,232.80 = 2,021.54/x
  3. Step 3: Cross multiply
    2,341.82x = 3,232.80 × 2,021.54
  4. Step 4: Simplify right side
    2,341.82x = 6,535,234.51
  5. Step 5: Solve for x
    x = 6,535,234.51/2,341.82
  6. Step 6: Final answer
    x = 2,790.66

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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.