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Finding the Fourth Proportional to 2,178.90, 3,270.78 and 2,080.08

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Solution

The fourth proportional to 2,178.90, 3,270.78 and 2,080.08 is: 3,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.90 : 3,270.78 = 2,080.08 : x
  2. Step 2: Convert to fraction form
    2,178.90/3,270.78 = 2,080.08/x
  3. Step 3: Cross multiply
    2,178.90x = 3,270.78 × 2,080.08
  4. Step 4: Simplify right side
    2,178.90x = 6,803,484.06
  5. Step 5: Solve for x
    x = 6,803,484.06/2,178.90
  6. Step 6: Final answer
    x = 3,122.44

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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.