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Finding the Fourth Proportional to 3,419.75, 4,719.50 and 1,927.80

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Solution

The fourth proportional to 3,419.75, 4,719.50 and 1,927.80 is: 2,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.75 : 4,719.50 = 1,927.80 : x
  2. Step 2: Convert to fraction form
    3,419.75/4,719.50 = 1,927.80/x
  3. Step 3: Cross multiply
    3,419.75x = 4,719.50 × 1,927.80
  4. Step 4: Simplify right side
    3,419.75x = 9,098,242.46
  5. Step 5: Solve for x
    x = 9,098,242.46/3,419.75
  6. Step 6: Final answer
    x = 2,660.50

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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.