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Finding the Fourth Proportional to 1,928.41, 2,659.74 and 1,361.00

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Solution

The fourth proportional to 1,928.41, 2,659.74 and 1,361.00 is: 1,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.41 : 2,659.74 = 1,361.00 : x
  2. Step 2: Convert to fraction form
    1,928.41/2,659.74 = 1,361.00/x
  3. Step 3: Cross multiply
    1,928.41x = 2,659.74 × 1,361.00
  4. Step 4: Simplify right side
    1,928.41x = 3,619,907.69
  5. Step 5: Solve for x
    x = 3,619,907.69/1,928.41
  6. Step 6: Final answer
    x = 1,877.15

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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.