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Finding the Fourth Proportional to 2,193.76, 3,028.08 and 2,120.80

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Solution

The fourth proportional to 2,193.76, 3,028.08 and 2,120.80 is: 2,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.76 : 3,028.08 = 2,120.80 : x
  2. Step 2: Convert to fraction form
    2,193.76/3,028.08 = 2,120.80/x
  3. Step 3: Cross multiply
    2,193.76x = 3,028.08 × 2,120.80
  4. Step 4: Simplify right side
    2,193.76x = 6,421,952.06
  5. Step 5: Solve for x
    x = 6,421,952.06/2,193.76
  6. Step 6: Final answer
    x = 2,927.37

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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.