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Finding the Fourth Proportional to 2,139.84, 2,971.44 and 2,122.56

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Solution

The fourth proportional to 2,139.84, 2,971.44 and 2,122.56 is: 2,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.84 : 2,971.44 = 2,122.56 : x
  2. Step 2: Convert to fraction form
    2,139.84/2,971.44 = 2,122.56/x
  3. Step 3: Cross multiply
    2,139.84x = 2,971.44 × 2,122.56
  4. Step 4: Simplify right side
    2,139.84x = 6,307,059.69
  5. Step 5: Solve for x
    x = 6,307,059.69/2,139.84
  6. Step 6: Final answer
    x = 2,947.44

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.