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Finding the Fourth Proportional to 1,607.63, 2,408.40 and 1,259.33

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Solution

The fourth proportional to 1,607.63, 2,408.40 and 1,259.33 is: 1,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.63 : 2,408.40 = 1,259.33 : x
  2. Step 2: Convert to fraction form
    1,607.63/2,408.40 = 1,259.33/x
  3. Step 3: Cross multiply
    1,607.63x = 2,408.40 × 1,259.33
  4. Step 4: Simplify right side
    1,607.63x = 3,032,958.33
  5. Step 5: Solve for x
    x = 3,032,958.33/1,607.63
  6. Step 6: Final answer
    x = 1,886.61

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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.