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Finding the Fourth Proportional to 1,992.39, 2,751.53 and 1,494.24

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Solution

The fourth proportional to 1,992.39, 2,751.53 and 1,494.24 is: 2,063.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.39 : 2,751.53 = 1,494.24 : x
  2. Step 2: Convert to fraction form
    1,992.39/2,751.53 = 1,494.24/x
  3. Step 3: Cross multiply
    1,992.39x = 2,751.53 × 1,494.24
  4. Step 4: Simplify right side
    1,992.39x = 4,111,446.19
  5. Step 5: Solve for x
    x = 4,111,446.19/1,992.39
  6. Step 6: Final answer
    x = 2,063.57

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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.