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Finding the Fourth Proportional to 1,835.37, 2,532.77 and 996.04

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Solution

The fourth proportional to 1,835.37, 2,532.77 and 996.04 is: 1,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.37 : 2,532.77 = 996.04 : x
  2. Step 2: Convert to fraction form
    1,835.37/2,532.77 = 996.04/x
  3. Step 3: Cross multiply
    1,835.37x = 2,532.77 × 996.04
  4. Step 4: Simplify right side
    1,835.37x = 2,522,740.23
  5. Step 5: Solve for x
    x = 2,522,740.23/1,835.37
  6. Step 6: Final answer
    x = 1,374.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.