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Finding the Fourth Proportional to 1,917.57, 2,877.33 and 877.44

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Solution

The fourth proportional to 1,917.57, 2,877.33 and 877.44 is: 1,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.57 : 2,877.33 = 877.44 : x
  2. Step 2: Convert to fraction form
    1,917.57/2,877.33 = 877.44/x
  3. Step 3: Cross multiply
    1,917.57x = 2,877.33 × 877.44
  4. Step 4: Simplify right side
    1,917.57x = 2,524,684.44
  5. Step 5: Solve for x
    x = 2,524,684.44/1,917.57
  6. Step 6: Final answer
    x = 1,316.61

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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.