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Finding the Fourth Proportional to 1,607.11, 2,408.20 and 783.34

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Solution

The fourth proportional to 1,607.11, 2,408.20 and 783.34 is: 1,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.11 : 2,408.20 = 783.34 : x
  2. Step 2: Convert to fraction form
    1,607.11/2,408.20 = 783.34/x
  3. Step 3: Cross multiply
    1,607.11x = 2,408.20 × 783.34
  4. Step 4: Simplify right side
    1,607.11x = 1,886,431.41
  5. Step 5: Solve for x
    x = 1,886,431.41/1,607.11
  6. Step 6: Final answer
    x = 1,173.81

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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.