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Finding the Fourth Proportional to 2,788, 4,176.52 and 1,910.36

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Solution

The fourth proportional to 2,788, 4,176.52 and 1,910.36 is: 2,861.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788 : 4,176.52 = 1,910.36 : x
  2. Step 2: Convert to fraction form
    2,788/4,176.52 = 1,910.36/x
  3. Step 3: Cross multiply
    2,788x = 4,176.52 × 1,910.36
  4. Step 4: Simplify right side
    2,788x = 7,978,656.75
  5. Step 5: Solve for x
    x = 7,978,656.75/2,788
  6. Step 6: Final answer
    x = 2,861.79

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