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Finding the Fourth Proportional to 4,049.69, 6,074.78 and 1,276.45

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Solution

The fourth proportional to 4,049.69, 6,074.78 and 1,276.45 is: 1,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.69 : 6,074.78 = 1,276.45 : x
  2. Step 2: Convert to fraction form
    4,049.69/6,074.78 = 1,276.45/x
  3. Step 3: Cross multiply
    4,049.69x = 6,074.78 × 1,276.45
  4. Step 4: Simplify right side
    4,049.69x = 7,754,152.93
  5. Step 5: Solve for x
    x = 7,754,152.93/4,049.69
  6. Step 6: Final answer
    x = 1,914.75

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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.