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Finding the Fourth Proportional to 3,419.50, 4,719.24 and 1,927.78

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Solution

The fourth proportional to 3,419.50, 4,719.24 and 1,927.78 is: 2,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.50 : 4,719.24 = 1,927.78 : x
  2. Step 2: Convert to fraction form
    3,419.50/4,719.24 = 1,927.78/x
  3. Step 3: Cross multiply
    3,419.50x = 4,719.24 × 1,927.78
  4. Step 4: Simplify right side
    3,419.50x = 9,097,656.49
  5. Step 5: Solve for x
    x = 9,097,656.49/3,419.50
  6. Step 6: Final answer
    x = 2,660.52

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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.