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Finding the Fourth Proportional to 3,106.49, 4,286.89 and 1,780.98

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Solution

The fourth proportional to 3,106.49, 4,286.89 and 1,780.98 is: 2,457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.49 : 4,286.89 = 1,780.98 : x
  2. Step 2: Convert to fraction form
    3,106.49/4,286.89 = 1,780.98/x
  3. Step 3: Cross multiply
    3,106.49x = 4,286.89 × 1,780.98
  4. Step 4: Simplify right side
    3,106.49x = 7,634,865.35
  5. Step 5: Solve for x
    x = 7,634,865.35/3,106.49
  6. Step 6: Final answer
    x = 2,457.71

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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.