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Finding the Fourth Proportional to 3,419.45, 4,718.80 and 1,927.85

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Solution

The fourth proportional to 3,419.45, 4,718.80 and 1,927.85 is: 2,660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.45 : 4,718.80 = 1,927.85 : x
  2. Step 2: Convert to fraction form
    3,419.45/4,718.80 = 1,927.85/x
  3. Step 3: Cross multiply
    3,419.45x = 4,718.80 × 1,927.85
  4. Step 4: Simplify right side
    3,419.45x = 9,097,110.17
  5. Step 5: Solve for x
    x = 9,097,110.17/3,419.45
  6. Step 6: Final answer
    x = 2,660.41

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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.