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Finding the Fourth Proportional to 2,004.84, 3,007.42 and 618.17

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Solution

The fourth proportional to 2,004.84, 3,007.42 and 618.17 is: 927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.84 : 3,007.42 = 618.17 : x
  2. Step 2: Convert to fraction form
    2,004.84/3,007.42 = 618.17/x
  3. Step 3: Cross multiply
    2,004.84x = 3,007.42 × 618.17
  4. Step 4: Simplify right side
    2,004.84x = 1,859,102.79
  5. Step 5: Solve for x
    x = 1,859,102.79/2,004.84
  6. Step 6: Final answer
    x = 927.31

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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.