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Finding the Fourth Proportional to 2,482.06, 3,704.24 and 2,381.60

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Solution

The fourth proportional to 2,482.06, 3,704.24 and 2,381.60 is: 3,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.06 : 3,704.24 = 2,381.60 : x
  2. Step 2: Convert to fraction form
    2,482.06/3,704.24 = 2,381.60/x
  3. Step 3: Cross multiply
    2,482.06x = 3,704.24 × 2,381.60
  4. Step 4: Simplify right side
    2,482.06x = 8,821,987.55
  5. Step 5: Solve for x
    x = 8,821,987.55/2,482.06
  6. Step 6: Final answer
    x = 3,554.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.