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Finding the Fourth Proportional to 2,336.59, 3,504.47 and 855.50

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Solution

The fourth proportional to 2,336.59, 3,504.47 and 855.50 is: 1,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.59 : 3,504.47 = 855.50 : x
  2. Step 2: Convert to fraction form
    2,336.59/3,504.47 = 855.50/x
  3. Step 3: Cross multiply
    2,336.59x = 3,504.47 × 855.50
  4. Step 4: Simplify right side
    2,336.59x = 2,998,074.09
  5. Step 5: Solve for x
    x = 2,998,074.09/2,336.59
  6. Step 6: Final answer
    x = 1,283.10

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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.