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Finding the Fourth Proportional to 1,835.94, 2,533.61 and 996.65

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Solution

The fourth proportional to 1,835.94, 2,533.61 and 996.65 is: 1,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.94 : 2,533.61 = 996.65 : x
  2. Step 2: Convert to fraction form
    1,835.94/2,533.61 = 996.65/x
  3. Step 3: Cross multiply
    1,835.94x = 2,533.61 × 996.65
  4. Step 4: Simplify right side
    1,835.94x = 2,525,122.41
  5. Step 5: Solve for x
    x = 2,525,122.41/1,835.94
  6. Step 6: Final answer
    x = 1,375.38

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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.