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Finding the Fourth Proportional to 1,607.94, 2,408.67 and 1,422.09

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Solution

The fourth proportional to 1,607.94, 2,408.67 and 1,422.09 is: 2,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.94 : 2,408.67 = 1,422.09 : x
  2. Step 2: Convert to fraction form
    1,607.94/2,408.67 = 1,422.09/x
  3. Step 3: Cross multiply
    1,607.94x = 2,408.67 × 1,422.09
  4. Step 4: Simplify right side
    1,607.94x = 3,425,345.52
  5. Step 5: Solve for x
    x = 3,425,345.52/1,607.94
  6. Step 6: Final answer
    x = 2,130.27

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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.