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Finding the Fourth Proportional to 2,361.82, 3,258.76 and 1,466.36

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Solution

The fourth proportional to 2,361.82, 3,258.76 and 1,466.36 is: 2,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.82 : 3,258.76 = 1,466.36 : x
  2. Step 2: Convert to fraction form
    2,361.82/3,258.76 = 1,466.36/x
  3. Step 3: Cross multiply
    2,361.82x = 3,258.76 × 1,466.36
  4. Step 4: Simplify right side
    2,361.82x = 4,778,515.31
  5. Step 5: Solve for x
    x = 4,778,515.31/2,361.82
  6. Step 6: Final answer
    x = 2,023.23

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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.