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Finding the Fourth Proportional to 2,783.94, 4,175.91 and 837.51

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Solution

The fourth proportional to 2,783.94, 4,175.91 and 837.51 is: 1,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.94 : 4,175.91 = 837.51 : x
  2. Step 2: Convert to fraction form
    2,783.94/4,175.91 = 837.51/x
  3. Step 3: Cross multiply
    2,783.94x = 4,175.91 × 837.51
  4. Step 4: Simplify right side
    2,783.94x = 3,497,366.38
  5. Step 5: Solve for x
    x = 3,497,366.38/2,783.94
  6. Step 6: Final answer
    x = 1,256.27

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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.