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Finding the Fourth Proportional to 2,290.48, 3,436.97 and 992.05

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Solution

The fourth proportional to 2,290.48, 3,436.97 and 992.05 is: 1,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.48 : 3,436.97 = 992.05 : x
  2. Step 2: Convert to fraction form
    2,290.48/3,436.97 = 992.05/x
  3. Step 3: Cross multiply
    2,290.48x = 3,436.97 × 992.05
  4. Step 4: Simplify right side
    2,290.48x = 3,409,632.54
  5. Step 5: Solve for x
    x = 3,409,632.54/2,290.48
  6. Step 6: Final answer
    x = 1,488.61

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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.