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Finding the Fourth Proportional to 2,647.54, 3,654.12 and 1,600.18

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Solution

The fourth proportional to 2,647.54, 3,654.12 and 1,600.18 is: 2,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.54 : 3,654.12 = 1,600.18 : x
  2. Step 2: Convert to fraction form
    2,647.54/3,654.12 = 1,600.18/x
  3. Step 3: Cross multiply
    2,647.54x = 3,654.12 × 1,600.18
  4. Step 4: Simplify right side
    2,647.54x = 5,847,249.74
  5. Step 5: Solve for x
    x = 5,847,249.74/2,647.54
  6. Step 6: Final answer
    x = 2,208.56

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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.