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Finding the Fourth Proportional to 1,271.08, 1,906.62 and 982.72

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Solution

The fourth proportional to 1,271.08, 1,906.62 and 982.72 is: 1,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.08 : 1,906.62 = 982.72 : x
  2. Step 2: Convert to fraction form
    1,271.08/1,906.62 = 982.72/x
  3. Step 3: Cross multiply
    1,271.08x = 1,906.62 × 982.72
  4. Step 4: Simplify right side
    1,271.08x = 1,873,673.61
  5. Step 5: Solve for x
    x = 1,873,673.61/1,271.08
  6. Step 6: Final answer
    x = 1,474.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.