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Finding the Fourth Proportional to 1,835.39, 2,532.82 and 996.07

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Solution

The fourth proportional to 1,835.39, 2,532.82 and 996.07 is: 1,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.39 : 2,532.82 = 996.07 : x
  2. Step 2: Convert to fraction form
    1,835.39/2,532.82 = 996.07/x
  3. Step 3: Cross multiply
    1,835.39x = 2,532.82 × 996.07
  4. Step 4: Simplify right side
    1,835.39x = 2,522,857.20
  5. Step 5: Solve for x
    x = 2,522,857.20/1,835.39
  6. Step 6: Final answer
    x = 1,374.57

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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.