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Finding the Fourth Proportional to 2,482.72, 3,722.64 and 1,020.22

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Solution

The fourth proportional to 2,482.72, 3,722.64 and 1,020.22 is: 1,529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.72 : 3,722.64 = 1,020.22 : x
  2. Step 2: Convert to fraction form
    2,482.72/3,722.64 = 1,020.22/x
  3. Step 3: Cross multiply
    2,482.72x = 3,722.64 × 1,020.22
  4. Step 4: Simplify right side
    2,482.72x = 3,797,911.78
  5. Step 5: Solve for x
    x = 3,797,911.78/2,482.72
  6. Step 6: Final answer
    x = 1,529.74

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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.