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Finding the Fourth Proportional to 2,783.17, 4,175.40 and 835.41

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Solution

The fourth proportional to 2,783.17, 4,175.40 and 835.41 is: 1,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.17 : 4,175.40 = 835.41 : x
  2. Step 2: Convert to fraction form
    2,783.17/4,175.40 = 835.41/x
  3. Step 3: Cross multiply
    2,783.17x = 4,175.40 × 835.41
  4. Step 4: Simplify right side
    2,783.17x = 3,488,166.74
  5. Step 5: Solve for x
    x = 3,488,166.74/2,783.17
  6. Step 6: Final answer
    x = 1,253.31

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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.