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Finding the Fourth Proportional to 2,119.76, 3,178.42 and 1,775.24

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Solution

The fourth proportional to 2,119.76, 3,178.42 and 1,775.24 is: 2,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.76 : 3,178.42 = 1,775.24 : x
  2. Step 2: Convert to fraction form
    2,119.76/3,178.42 = 1,775.24/x
  3. Step 3: Cross multiply
    2,119.76x = 3,178.42 × 1,775.24
  4. Step 4: Simplify right side
    2,119.76x = 5,642,458.32
  5. Step 5: Solve for x
    x = 5,642,458.32/2,119.76
  6. Step 6: Final answer
    x = 2,661.84

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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.