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Finding the Fourth Proportional to 2,271.74, 3,406.23 and 884.81

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Solution

The fourth proportional to 2,271.74, 3,406.23 and 884.81 is: 1,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.74 : 3,406.23 = 884.81 : x
  2. Step 2: Convert to fraction form
    2,271.74/3,406.23 = 884.81/x
  3. Step 3: Cross multiply
    2,271.74x = 3,406.23 × 884.81
  4. Step 4: Simplify right side
    2,271.74x = 3,013,849.34
  5. Step 5: Solve for x
    x = 3,013,849.34/2,271.74
  6. Step 6: Final answer
    x = 1,326.67

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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.