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Finding the Fourth Proportional to 1,856, 2,767.60 and 1,722.08

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Solution

The fourth proportional to 1,856, 2,767.60 and 1,722.08 is: 2,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856 : 2,767.60 = 1,722.08 : x
  2. Step 2: Convert to fraction form
    1,856/2,767.60 = 1,722.08/x
  3. Step 3: Cross multiply
    1,856x = 2,767.60 × 1,722.08
  4. Step 4: Simplify right side
    1,856x = 4,766,028.61
  5. Step 5: Solve for x
    x = 4,766,028.61/1,856
  6. Step 6: Final answer
    x = 2,567.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.