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Finding the Fourth Proportional to 2,774.75, 4,162.07 and 926.00

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Solution

The fourth proportional to 2,774.75, 4,162.07 and 926.00 is: 1,388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.75 : 4,162.07 = 926.00 : x
  2. Step 2: Convert to fraction form
    2,774.75/4,162.07 = 926.00/x
  3. Step 3: Cross multiply
    2,774.75x = 4,162.07 × 926.00
  4. Step 4: Simplify right side
    2,774.75x = 3,854,051.38
  5. Step 5: Solve for x
    x = 3,854,051.38/2,774.75
  6. Step 6: Final answer
    x = 1,388.97

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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.