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Finding the Fourth Proportional to 2,370.81, 3,271.74 and 1,322.94

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Solution

The fourth proportional to 2,370.81, 3,271.74 and 1,322.94 is: 1,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.81 : 3,271.74 = 1,322.94 : x
  2. Step 2: Convert to fraction form
    2,370.81/3,271.74 = 1,322.94/x
  3. Step 3: Cross multiply
    2,370.81x = 3,271.74 × 1,322.94
  4. Step 4: Simplify right side
    2,370.81x = 4,328,315.72
  5. Step 5: Solve for x
    x = 4,328,315.72/2,370.81
  6. Step 6: Final answer
    x = 1,825.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.