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Finding the Fourth Proportional to 2,336.55, 3,503.97 and 875.31

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Solution

The fourth proportional to 2,336.55, 3,503.97 and 875.31 is: 1,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.55 : 3,503.97 = 875.31 : x
  2. Step 2: Convert to fraction form
    2,336.55/3,503.97 = 875.31/x
  3. Step 3: Cross multiply
    2,336.55x = 3,503.97 × 875.31
  4. Step 4: Simplify right side
    2,336.55x = 3,067,059.98
  5. Step 5: Solve for x
    x = 3,067,059.98/2,336.55
  6. Step 6: Final answer
    x = 1,312.64

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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.