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Finding the Fourth Proportional to 1,874.67, 2,811.39 and 887.33

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Solution

The fourth proportional to 1,874.67, 2,811.39 and 887.33 is: 1,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.67 : 2,811.39 = 887.33 : x
  2. Step 2: Convert to fraction form
    1,874.67/2,811.39 = 887.33/x
  3. Step 3: Cross multiply
    1,874.67x = 2,811.39 × 887.33
  4. Step 4: Simplify right side
    1,874.67x = 2,494,630.69
  5. Step 5: Solve for x
    x = 2,494,630.69/1,874.67
  6. Step 6: Final answer
    x = 1,330.70

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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.