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Finding the Fourth Proportional to 3,101.44, 4,652.25 and 792.94

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Solution

The fourth proportional to 3,101.44, 4,652.25 and 792.94 is: 1,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.44 : 4,652.25 = 792.94 : x
  2. Step 2: Convert to fraction form
    3,101.44/4,652.25 = 792.94/x
  3. Step 3: Cross multiply
    3,101.44x = 4,652.25 × 792.94
  4. Step 4: Simplify right side
    3,101.44x = 3,688,955.12
  5. Step 5: Solve for x
    x = 3,688,955.12/3,101.44
  6. Step 6: Final answer
    x = 1,189.43

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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.