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Finding the Fourth Proportional to 1,607.91, 2,408.22 and 786.84

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Solution

The fourth proportional to 1,607.91, 2,408.22 and 786.84 is: 1,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.91 : 2,408.22 = 786.84 : x
  2. Step 2: Convert to fraction form
    1,607.91/2,408.22 = 786.84/x
  3. Step 3: Cross multiply
    1,607.91x = 2,408.22 × 786.84
  4. Step 4: Simplify right side
    1,607.91x = 1,894,883.82
  5. Step 5: Solve for x
    x = 1,894,883.82/1,607.91
  6. Step 6: Final answer
    x = 1,178.48

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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.