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Finding the Fourth Proportional to 1,855.09, 2,782.17 and 815.35

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Solution

The fourth proportional to 1,855.09, 2,782.17 and 815.35 is: 1,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.09 : 2,782.17 = 815.35 : x
  2. Step 2: Convert to fraction form
    1,855.09/2,782.17 = 815.35/x
  3. Step 3: Cross multiply
    1,855.09x = 2,782.17 × 815.35
  4. Step 4: Simplify right side
    1,855.09x = 2,268,442.86
  5. Step 5: Solve for x
    x = 2,268,442.86/1,855.09
  6. Step 6: Final answer
    x = 1,222.82

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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.