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Finding the Fourth Proportional to 1,647.11, 2,272.65 and 983.86

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Solution

The fourth proportional to 1,647.11, 2,272.65 and 983.86 is: 1,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.11 : 2,272.65 = 983.86 : x
  2. Step 2: Convert to fraction form
    1,647.11/2,272.65 = 983.86/x
  3. Step 3: Cross multiply
    1,647.11x = 2,272.65 × 983.86
  4. Step 4: Simplify right side
    1,647.11x = 2,235,969.43
  5. Step 5: Solve for x
    x = 2,235,969.43/1,647.11
  6. Step 6: Final answer
    x = 1,357.51

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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.