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Finding the Fourth Proportional to 2,716.80, 4,072.77 and 1,419.18

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Solution

The fourth proportional to 2,716.80, 4,072.77 and 1,419.18 is: 2,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.80 : 4,072.77 = 1,419.18 : x
  2. Step 2: Convert to fraction form
    2,716.80/4,072.77 = 1,419.18/x
  3. Step 3: Cross multiply
    2,716.80x = 4,072.77 × 1,419.18
  4. Step 4: Simplify right side
    2,716.80x = 5,779,993.73
  5. Step 5: Solve for x
    x = 5,779,993.73/2,716.80
  6. Step 6: Final answer
    x = 2,127.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.