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Finding the Fourth Proportional to 2,917.86, 4,376.19 and 837.41

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Solution

The fourth proportional to 2,917.86, 4,376.19 and 837.41 is: 1,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.86 : 4,376.19 = 837.41 : x
  2. Step 2: Convert to fraction form
    2,917.86/4,376.19 = 837.41/x
  3. Step 3: Cross multiply
    2,917.86x = 4,376.19 × 837.41
  4. Step 4: Simplify right side
    2,917.86x = 3,664,643.39
  5. Step 5: Solve for x
    x = 3,664,643.39/2,917.86
  6. Step 6: Final answer
    x = 1,255.94

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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.