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Finding the Fourth Proportional to 1,711.98, 2,362.52 and 926.03

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Solution

The fourth proportional to 1,711.98, 2,362.52 and 926.03 is: 1,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.98 : 2,362.52 = 926.03 : x
  2. Step 2: Convert to fraction form
    1,711.98/2,362.52 = 926.03/x
  3. Step 3: Cross multiply
    1,711.98x = 2,362.52 × 926.03
  4. Step 4: Simplify right side
    1,711.98x = 2,187,772.62
  5. Step 5: Solve for x
    x = 2,187,772.62/1,711.98
  6. Step 6: Final answer
    x = 1,277.92

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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.