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Finding the Fourth Proportional to 1,859.80, 2,784.30 and 1,805.80

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Solution

The fourth proportional to 1,859.80, 2,784.30 and 1,805.80 is: 2,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.80 : 2,784.30 = 1,805.80 : x
  2. Step 2: Convert to fraction form
    1,859.80/2,784.30 = 1,805.80/x
  3. Step 3: Cross multiply
    1,859.80x = 2,784.30 × 1,805.80
  4. Step 4: Simplify right side
    1,859.80x = 5,027,888.94
  5. Step 5: Solve for x
    x = 5,027,888.94/1,859.80
  6. Step 6: Final answer
    x = 2,703.46

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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.