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Finding the Fourth Proportional to 2,835.52, 3,911.93 and 2,091.24

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Solution

The fourth proportional to 2,835.52, 3,911.93 and 2,091.24 is: 2,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.52 : 3,911.93 = 2,091.24 : x
  2. Step 2: Convert to fraction form
    2,835.52/3,911.93 = 2,091.24/x
  3. Step 3: Cross multiply
    2,835.52x = 3,911.93 × 2,091.24
  4. Step 4: Simplify right side
    2,835.52x = 8,180,783.82
  5. Step 5: Solve for x
    x = 8,180,783.82/2,835.52
  6. Step 6: Final answer
    x = 2,885.11

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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.