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Finding the Fourth Proportional to 1,855, 2,781.42 and 1,639

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Solution

The fourth proportional to 1,855, 2,781.42 and 1,639 is: 2,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855 : 2,781.42 = 1,639 : x
  2. Step 2: Convert to fraction form
    1,855/2,781.42 = 1,639/x
  3. Step 3: Cross multiply
    1,855x = 2,781.42 × 1,639
  4. Step 4: Simplify right side
    1,855x = 4,558,747.38
  5. Step 5: Solve for x
    x = 4,558,747.38/1,855
  6. Step 6: Final answer
    x = 2,457.55

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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.