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Finding the Fourth Proportional to 2,647.54, 3,651.33 and 1,651.78

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Solution

The fourth proportional to 2,647.54, 3,651.33 and 1,651.78 is: 2,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.54 : 3,651.33 = 1,651.78 : x
  2. Step 2: Convert to fraction form
    2,647.54/3,651.33 = 1,651.78/x
  3. Step 3: Cross multiply
    2,647.54x = 3,651.33 × 1,651.78
  4. Step 4: Simplify right side
    2,647.54x = 6,031,193.87
  5. Step 5: Solve for x
    x = 6,031,193.87/2,647.54
  6. Step 6: Final answer
    x = 2,278.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.