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Finding the Fourth Proportional to 2,449.89, 3,674.81 and 601.00

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Solution

The fourth proportional to 2,449.89, 3,674.81 and 601.00 is: 901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.89 : 3,674.81 = 601.00 : x
  2. Step 2: Convert to fraction form
    2,449.89/3,674.81 = 601.00/x
  3. Step 3: Cross multiply
    2,449.89x = 3,674.81 × 601.00
  4. Step 4: Simplify right side
    2,449.89x = 2,208,553.13
  5. Step 5: Solve for x
    x = 2,208,553.13/2,449.89
  6. Step 6: Final answer
    x = 901.49

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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.