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Finding the Fourth Proportional to 2,465.33, 3,400.23 and 1,581.22

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Solution

The fourth proportional to 2,465.33, 3,400.23 and 1,581.22 is: 2,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.33 : 3,400.23 = 1,581.22 : x
  2. Step 2: Convert to fraction form
    2,465.33/3,400.23 = 1,581.22/x
  3. Step 3: Cross multiply
    2,465.33x = 3,400.23 × 1,581.22
  4. Step 4: Simplify right side
    2,465.33x = 5,376,493.84
  5. Step 5: Solve for x
    x = 5,376,493.84/2,465.33
  6. Step 6: Final answer
    x = 2,180.84

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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.