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Finding the Fourth Proportional to 2,645.66, 3,650.92 and 1,597.54

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Solution

The fourth proportional to 2,645.66, 3,650.92 and 1,597.54 is: 2,204.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.66 : 3,650.92 = 1,597.54 : x
  2. Step 2: Convert to fraction form
    2,645.66/3,650.92 = 1,597.54/x
  3. Step 3: Cross multiply
    2,645.66x = 3,650.92 × 1,597.54
  4. Step 4: Simplify right side
    2,645.66x = 5,832,464.49
  5. Step 5: Solve for x
    x = 5,832,464.49/2,645.66
  6. Step 6: Final answer
    x = 2,204.54

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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.