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Finding the Fourth Proportional to 2,035.54, 2,809.11 and 1,196.32

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Solution

The fourth proportional to 2,035.54, 2,809.11 and 1,196.32 is: 1,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.54 : 2,809.11 = 1,196.32 : x
  2. Step 2: Convert to fraction form
    2,035.54/2,809.11 = 1,196.32/x
  3. Step 3: Cross multiply
    2,035.54x = 2,809.11 × 1,196.32
  4. Step 4: Simplify right side
    2,035.54x = 3,360,594.48
  5. Step 5: Solve for x
    x = 3,360,594.48/2,035.54
  6. Step 6: Final answer
    x = 1,650.96

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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.