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Finding the Fourth Proportional to 2,934.16, 4,402.16 and 1,765.44

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Solution

The fourth proportional to 2,934.16, 4,402.16 and 1,765.44 is: 2,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.16 : 4,402.16 = 1,765.44 : x
  2. Step 2: Convert to fraction form
    2,934.16/4,402.16 = 1,765.44/x
  3. Step 3: Cross multiply
    2,934.16x = 4,402.16 × 1,765.44
  4. Step 4: Simplify right side
    2,934.16x = 7,771,749.35
  5. Step 5: Solve for x
    x = 7,771,749.35/2,934.16
  6. Step 6: Final answer
    x = 2,648.71

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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.