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Finding the Fourth Proportional to 2,629.52, 3,944.33 and 681.66

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Solution

The fourth proportional to 2,629.52, 3,944.33 and 681.66 is: 1,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.52 : 3,944.33 = 681.66 : x
  2. Step 2: Convert to fraction form
    2,629.52/3,944.33 = 681.66/x
  3. Step 3: Cross multiply
    2,629.52x = 3,944.33 × 681.66
  4. Step 4: Simplify right side
    2,629.52x = 2,688,688.58
  5. Step 5: Solve for x
    x = 2,688,688.58/2,629.52
  6. Step 6: Final answer
    x = 1,022.50

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1.5x scale

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.