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Finding the Fourth Proportional to 1,855.37, 2,781.61 and 930.45

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Solution

The fourth proportional to 1,855.37, 2,781.61 and 930.45 is: 1,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.37 : 2,781.61 = 930.45 : x
  2. Step 2: Convert to fraction form
    1,855.37/2,781.61 = 930.45/x
  3. Step 3: Cross multiply
    1,855.37x = 2,781.61 × 930.45
  4. Step 4: Simplify right side
    1,855.37x = 2,588,149.02
  5. Step 5: Solve for x
    x = 2,588,149.02/1,855.37
  6. Step 6: Final answer
    x = 1,394.95

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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.