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Finding the Fourth Proportional to 3,419.66, 4,718.99 and 1,927.88

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Solution

The fourth proportional to 3,419.66, 4,718.99 and 1,927.88 is: 2,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.66 : 4,718.99 = 1,927.88 : x
  2. Step 2: Convert to fraction form
    3,419.66/4,718.99 = 1,927.88/x
  3. Step 3: Cross multiply
    3,419.66x = 4,718.99 × 1,927.88
  4. Step 4: Simplify right side
    3,419.66x = 9,097,622.85
  5. Step 5: Solve for x
    x = 9,097,622.85/3,419.66
  6. Step 6: Final answer
    x = 2,660.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.