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Finding the Fourth Proportional to 2,141.94, 3,213.82 and 1,030.82

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Solution

The fourth proportional to 2,141.94, 3,213.82 and 1,030.82 is: 1,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.94 : 3,213.82 = 1,030.82 : x
  2. Step 2: Convert to fraction form
    2,141.94/3,213.82 = 1,030.82/x
  3. Step 3: Cross multiply
    2,141.94x = 3,213.82 × 1,030.82
  4. Step 4: Simplify right side
    2,141.94x = 3,312,869.93
  5. Step 5: Solve for x
    x = 3,312,869.93/2,141.94
  6. Step 6: Final answer
    x = 1,546.67

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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.