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Finding the Fourth Proportional to 2,482.26, 3,722.28 and 1,786

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Solution

The fourth proportional to 2,482.26, 3,722.28 and 1,786 is: 2,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.26 : 3,722.28 = 1,786 : x
  2. Step 2: Convert to fraction form
    2,482.26/3,722.28 = 1,786/x
  3. Step 3: Cross multiply
    2,482.26x = 3,722.28 × 1,786
  4. Step 4: Simplify right side
    2,482.26x = 6,647,992.08
  5. Step 5: Solve for x
    x = 6,647,992.08/2,482.26
  6. Step 6: Final answer
    x = 2,678.20

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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.