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Finding the Fourth Proportional to 1,591.63, 2,196.47 and 883.49

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Solution

The fourth proportional to 1,591.63, 2,196.47 and 883.49 is: 1,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.63 : 2,196.47 = 883.49 : x
  2. Step 2: Convert to fraction form
    1,591.63/2,196.47 = 883.49/x
  3. Step 3: Cross multiply
    1,591.63x = 2,196.47 × 883.49
  4. Step 4: Simplify right side
    1,591.63x = 1,940,559.28
  5. Step 5: Solve for x
    x = 1,940,559.28/1,591.63
  6. Step 6: Final answer
    x = 1,219.23

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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.