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Finding the Fourth Proportional to 3,076.08, 4,611.84 and 1,538.16

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Solution

The fourth proportional to 3,076.08, 4,611.84 and 1,538.16 is: 2,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.08 : 4,611.84 = 1,538.16 : x
  2. Step 2: Convert to fraction form
    3,076.08/4,611.84 = 1,538.16/x
  3. Step 3: Cross multiply
    3,076.08x = 4,611.84 × 1,538.16
  4. Step 4: Simplify right side
    3,076.08x = 7,093,747.81
  5. Step 5: Solve for x
    x = 7,093,747.81/3,076.08
  6. Step 6: Final answer
    x = 2,306.10

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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.