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Finding the Fourth Proportional to 2,704.06, 4,054.29 and 972.46

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Solution

The fourth proportional to 2,704.06, 4,054.29 and 972.46 is: 1,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.06 : 4,054.29 = 972.46 : x
  2. Step 2: Convert to fraction form
    2,704.06/4,054.29 = 972.46/x
  3. Step 3: Cross multiply
    2,704.06x = 4,054.29 × 972.46
  4. Step 4: Simplify right side
    2,704.06x = 3,942,634.85
  5. Step 5: Solve for x
    x = 3,942,634.85/2,704.06
  6. Step 6: Final answer
    x = 1,458.04

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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.