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Finding the Fourth Proportional to 1,928.58, 2,661.03 and 1,142.88

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Solution

The fourth proportional to 1,928.58, 2,661.03 and 1,142.88 is: 1,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.58 : 2,661.03 = 1,142.88 : x
  2. Step 2: Convert to fraction form
    1,928.58/2,661.03 = 1,142.88/x
  3. Step 3: Cross multiply
    1,928.58x = 2,661.03 × 1,142.88
  4. Step 4: Simplify right side
    1,928.58x = 3,041,237.97
  5. Step 5: Solve for x
    x = 3,041,237.97/1,928.58
  6. Step 6: Final answer
    x = 1,576.93

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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.