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Finding the Fourth Proportional to 2,434.96, 3,654.20 and 974.54

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Solution

The fourth proportional to 2,434.96, 3,654.20 and 974.54 is: 1,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.96 : 3,654.20 = 974.54 : x
  2. Step 2: Convert to fraction form
    2,434.96/3,654.20 = 974.54/x
  3. Step 3: Cross multiply
    2,434.96x = 3,654.20 × 974.54
  4. Step 4: Simplify right side
    2,434.96x = 3,561,164.07
  5. Step 5: Solve for x
    x = 3,561,164.07/2,434.96
  6. Step 6: Final answer
    x = 1,462.51

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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.