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Finding the Fourth Proportional to 2,604.32, 3,902.64 and 1,304

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Solution

The fourth proportional to 2,604.32, 3,902.64 and 1,304 is: 1,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.32 : 3,902.64 = 1,304 : x
  2. Step 2: Convert to fraction form
    2,604.32/3,902.64 = 1,304/x
  3. Step 3: Cross multiply
    2,604.32x = 3,902.64 × 1,304
  4. Step 4: Simplify right side
    2,604.32x = 5,089,042.56
  5. Step 5: Solve for x
    x = 5,089,042.56/2,604.32
  6. Step 6: Final answer
    x = 1,954.08

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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.