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Finding the Fourth Proportional to 2,063.78, 3,096.11 and 602.81

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Solution

The fourth proportional to 2,063.78, 3,096.11 and 602.81 is: 904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.78 : 3,096.11 = 602.81 : x
  2. Step 2: Convert to fraction form
    2,063.78/3,096.11 = 602.81/x
  3. Step 3: Cross multiply
    2,063.78x = 3,096.11 × 602.81
  4. Step 4: Simplify right side
    2,063.78x = 1,866,366.07
  5. Step 5: Solve for x
    x = 1,866,366.07/2,063.78
  6. Step 6: Final answer
    x = 904.34

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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.