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Finding the Fourth Proportional to 2,320.99, 3,481.65 and 934.34

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Solution

The fourth proportional to 2,320.99, 3,481.65 and 934.34 is: 1,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.99 : 3,481.65 = 934.34 : x
  2. Step 2: Convert to fraction form
    2,320.99/3,481.65 = 934.34/x
  3. Step 3: Cross multiply
    2,320.99x = 3,481.65 × 934.34
  4. Step 4: Simplify right side
    2,320.99x = 3,253,047.04
  5. Step 5: Solve for x
    x = 3,253,047.04/2,320.99
  6. Step 6: Final answer
    x = 1,401.58

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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.