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Finding the Fourth Proportional to 2,291.45, 3,437.17 and 992.81

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Solution

The fourth proportional to 2,291.45, 3,437.17 and 992.81 is: 1,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.45 : 3,437.17 = 992.81 : x
  2. Step 2: Convert to fraction form
    2,291.45/3,437.17 = 992.81/x
  3. Step 3: Cross multiply
    2,291.45x = 3,437.17 × 992.81
  4. Step 4: Simplify right side
    2,291.45x = 3,412,462.86
  5. Step 5: Solve for x
    x = 3,412,462.86/2,291.45
  6. Step 6: Final answer
    x = 1,489.22

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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.