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Finding the Fourth Proportional to 1,855.91, 2,783.85 and 745.82

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Solution

The fourth proportional to 1,855.91, 2,783.85 and 745.82 is: 1,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.91 : 2,783.85 = 745.82 : x
  2. Step 2: Convert to fraction form
    1,855.91/2,783.85 = 745.82/x
  3. Step 3: Cross multiply
    1,855.91x = 2,783.85 × 745.82
  4. Step 4: Simplify right side
    1,855.91x = 2,076,251.01
  5. Step 5: Solve for x
    x = 2,076,251.01/1,855.91
  6. Step 6: Final answer
    x = 1,118.72

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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.