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Finding the Fourth Proportional to 3,482.74, 4,806.16 and 1,910.80

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Solution

The fourth proportional to 3,482.74, 4,806.16 and 1,910.80 is: 2,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.74 : 4,806.16 = 1,910.80 : x
  2. Step 2: Convert to fraction form
    3,482.74/4,806.16 = 1,910.80/x
  3. Step 3: Cross multiply
    3,482.74x = 4,806.16 × 1,910.80
  4. Step 4: Simplify right side
    3,482.74x = 9,183,610.53
  5. Step 5: Solve for x
    x = 9,183,610.53/3,482.74
  6. Step 6: Final answer
    x = 2,636.89

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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.