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Finding the Fourth Proportional to 2,832.63, 3,903.55 and 2,165.59

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Solution

The fourth proportional to 2,832.63, 3,903.55 and 2,165.59 is: 2,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.63 : 3,903.55 = 2,165.59 : x
  2. Step 2: Convert to fraction form
    2,832.63/3,903.55 = 2,165.59/x
  3. Step 3: Cross multiply
    2,832.63x = 3,903.55 × 2,165.59
  4. Step 4: Simplify right side
    2,832.63x = 8,453,488.84
  5. Step 5: Solve for x
    x = 8,453,488.84/2,832.63
  6. Step 6: Final answer
    x = 2,984.33

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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.