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Finding the Fourth Proportional to 2,301.43, 3,451.49 and 657.54

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Solution

The fourth proportional to 2,301.43, 3,451.49 and 657.54 is: 986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.43 : 3,451.49 = 657.54 : x
  2. Step 2: Convert to fraction form
    2,301.43/3,451.49 = 657.54/x
  3. Step 3: Cross multiply
    2,301.43x = 3,451.49 × 657.54
  4. Step 4: Simplify right side
    2,301.43x = 2,269,492.73
  5. Step 5: Solve for x
    x = 2,269,492.73/2,301.43
  6. Step 6: Final answer
    x = 986.12

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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.