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Finding the Fourth Proportional to 2,795.26, 4,191.67 and 847.01

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Solution

The fourth proportional to 2,795.26, 4,191.67 and 847.01 is: 1,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.26 : 4,191.67 = 847.01 : x
  2. Step 2: Convert to fraction form
    2,795.26/4,191.67 = 847.01/x
  3. Step 3: Cross multiply
    2,795.26x = 4,191.67 × 847.01
  4. Step 4: Simplify right side
    2,795.26x = 3,550,376.75
  5. Step 5: Solve for x
    x = 3,550,376.75/2,795.26
  6. Step 6: Final answer
    x = 1,270.14

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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.