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Finding the Fourth Proportional to 1,845, 2,767.50 and 1,752.72

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Solution

The fourth proportional to 1,845, 2,767.50 and 1,752.72 is: 2,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845 : 2,767.50 = 1,752.72 : x
  2. Step 2: Convert to fraction form
    1,845/2,767.50 = 1,752.72/x
  3. Step 3: Cross multiply
    1,845x = 2,767.50 × 1,752.72
  4. Step 4: Simplify right side
    1,845x = 4,850,652.60
  5. Step 5: Solve for x
    x = 4,850,652.60/1,845
  6. Step 6: Final answer
    x = 2,629.08

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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.