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Finding the Fourth Proportional to 2,162.00, 3,241.46 and 928.77

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Solution

The fourth proportional to 2,162.00, 3,241.46 and 928.77 is: 1,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.00 : 3,241.46 = 928.77 : x
  2. Step 2: Convert to fraction form
    2,162.00/3,241.46 = 928.77/x
  3. Step 3: Cross multiply
    2,162.00x = 3,241.46 × 928.77
  4. Step 4: Simplify right side
    2,162.00x = 3,010,566.16
  5. Step 5: Solve for x
    x = 3,010,566.16/2,162.00
  6. Step 6: Final answer
    x = 1,392.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.