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Finding the Fourth Proportional to 2,047.23, 3,072 and 1,704.71

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Solution

The fourth proportional to 2,047.23, 3,072 and 1,704.71 is: 2,558.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.23 : 3,072 = 1,704.71 : x
  2. Step 2: Convert to fraction form
    2,047.23/3,072 = 1,704.71/x
  3. Step 3: Cross multiply
    2,047.23x = 3,072 × 1,704.71
  4. Step 4: Simplify right side
    2,047.23x = 5,236,853.76
  5. Step 5: Solve for x
    x = 5,236,853.76/2,047.23
  6. Step 6: Final answer
    x = 2,558.02

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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.