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Finding the Fourth Proportional to 1,607.25, 2,408.87 and 911.80

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Solution

The fourth proportional to 1,607.25, 2,408.87 and 911.80 is: 1,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.25 : 2,408.87 = 911.80 : x
  2. Step 2: Convert to fraction form
    1,607.25/2,408.87 = 911.80/x
  3. Step 3: Cross multiply
    1,607.25x = 2,408.87 × 911.80
  4. Step 4: Simplify right side
    1,607.25x = 2,196,407.67
  5. Step 5: Solve for x
    x = 2,196,407.67/1,607.25
  6. Step 6: Final answer
    x = 1,366.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.