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Finding the Fourth Proportional to 1,835.97, 2,533.64 and 996.67

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Solution

The fourth proportional to 1,835.97, 2,533.64 and 996.67 is: 1,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.97 : 2,533.64 = 996.67 : x
  2. Step 2: Convert to fraction form
    1,835.97/2,533.64 = 996.67/x
  3. Step 3: Cross multiply
    1,835.97x = 2,533.64 × 996.67
  4. Step 4: Simplify right side
    1,835.97x = 2,525,201.16
  5. Step 5: Solve for x
    x = 2,525,201.16/1,835.97
  6. Step 6: Final answer
    x = 1,375.40

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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.