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Finding the Fourth Proportional to 2,704.01, 4,056.20 and 1,142.47

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Solution

The fourth proportional to 2,704.01, 4,056.20 and 1,142.47 is: 1,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.01 : 4,056.20 = 1,142.47 : x
  2. Step 2: Convert to fraction form
    2,704.01/4,056.20 = 1,142.47/x
  3. Step 3: Cross multiply
    2,704.01x = 4,056.20 × 1,142.47
  4. Step 4: Simplify right side
    2,704.01x = 4,634,074.46
  5. Step 5: Solve for x
    x = 4,634,074.46/2,704.01
  6. Step 6: Final answer
    x = 1,713.78

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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.