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Finding the Fourth Proportional to 2,361.96, 3,258.56 and 1,478.35

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Solution

The fourth proportional to 2,361.96, 3,258.56 and 1,478.35 is: 2,039.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.96 : 3,258.56 = 1,478.35 : x
  2. Step 2: Convert to fraction form
    2,361.96/3,258.56 = 1,478.35/x
  3. Step 3: Cross multiply
    2,361.96x = 3,258.56 × 1,478.35
  4. Step 4: Simplify right side
    2,361.96x = 4,817,299.95
  5. Step 5: Solve for x
    x = 4,817,299.95/2,361.96
  6. Step 6: Final answer
    x = 2,039.53

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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.