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Finding the Fourth Proportional to 1,646.94, 2,271.96 and 1,049.28

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Solution

The fourth proportional to 1,646.94, 2,271.96 and 1,049.28 is: 1,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.94 : 2,271.96 = 1,049.28 : x
  2. Step 2: Convert to fraction form
    1,646.94/2,271.96 = 1,049.28/x
  3. Step 3: Cross multiply
    1,646.94x = 2,271.96 × 1,049.28
  4. Step 4: Simplify right side
    1,646.94x = 2,383,922.19
  5. Step 5: Solve for x
    x = 2,383,922.19/1,646.94
  6. Step 6: Final answer
    x = 1,447.49

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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.