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Finding the Fourth Proportional to 2,263.95, 3,396.23 and 704.06

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Solution

The fourth proportional to 2,263.95, 3,396.23 and 704.06 is: 1,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.95 : 3,396.23 = 704.06 : x
  2. Step 2: Convert to fraction form
    2,263.95/3,396.23 = 704.06/x
  3. Step 3: Cross multiply
    2,263.95x = 3,396.23 × 704.06
  4. Step 4: Simplify right side
    2,263.95x = 2,391,144.57
  5. Step 5: Solve for x
    x = 2,391,144.57/2,263.95
  6. Step 6: Final answer
    x = 1,056.18

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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.