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Finding the Fourth Proportional to 2,042.06, 3,063.03 and 655.49

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Solution

The fourth proportional to 2,042.06, 3,063.03 and 655.49 is: 983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.06 : 3,063.03 = 655.49 : x
  2. Step 2: Convert to fraction form
    2,042.06/3,063.03 = 655.49/x
  3. Step 3: Cross multiply
    2,042.06x = 3,063.03 × 655.49
  4. Step 4: Simplify right side
    2,042.06x = 2,007,770.22
  5. Step 5: Solve for x
    x = 2,007,770.22/2,042.06
  6. Step 6: Final answer
    x = 983.21

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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.