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Finding the Fourth Proportional to 1,607.27, 2,408.57 and 784.61

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Solution

The fourth proportional to 1,607.27, 2,408.57 and 784.61 is: 1,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.27 : 2,408.57 = 784.61 : x
  2. Step 2: Convert to fraction form
    1,607.27/2,408.57 = 784.61/x
  3. Step 3: Cross multiply
    1,607.27x = 2,408.57 × 784.61
  4. Step 4: Simplify right side
    1,607.27x = 1,889,796.09
  5. Step 5: Solve for x
    x = 1,889,796.09/1,607.27
  6. Step 6: Final answer
    x = 1,175.78

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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.