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Finding the Fourth Proportional to 2,763.69, 4,147.94 and 1,430.39

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Solution

The fourth proportional to 2,763.69, 4,147.94 and 1,430.39 is: 2,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.69 : 4,147.94 = 1,430.39 : x
  2. Step 2: Convert to fraction form
    2,763.69/4,147.94 = 1,430.39/x
  3. Step 3: Cross multiply
    2,763.69x = 4,147.94 × 1,430.39
  4. Step 4: Simplify right side
    2,763.69x = 5,933,185.84
  5. Step 5: Solve for x
    x = 5,933,185.84/2,763.69
  6. Step 6: Final answer
    x = 2,146.84

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