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Finding the Fourth Proportional to 2,578.30, 3,866.84 and 1,482.10

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Solution

The fourth proportional to 2,578.30, 3,866.84 and 1,482.10 is: 2,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.30 : 3,866.84 = 1,482.10 : x
  2. Step 2: Convert to fraction form
    2,578.30/3,866.84 = 1,482.10/x
  3. Step 3: Cross multiply
    2,578.30x = 3,866.84 × 1,482.10
  4. Step 4: Simplify right side
    2,578.30x = 5,731,043.56
  5. Step 5: Solve for x
    x = 5,731,043.56/2,578.30
  6. Step 6: Final answer
    x = 2,222.80

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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.