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Finding the Fourth Proportional to 2,064.54, 3,096.78 and 604.68

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Solution

The fourth proportional to 2,064.54, 3,096.78 and 604.68 is: 907.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.54 : 3,096.78 = 604.68 : x
  2. Step 2: Convert to fraction form
    2,064.54/3,096.78 = 604.68/x
  3. Step 3: Cross multiply
    2,064.54x = 3,096.78 × 604.68
  4. Step 4: Simplify right side
    2,064.54x = 1,872,560.93
  5. Step 5: Solve for x
    x = 1,872,560.93/2,064.54
  6. Step 6: Final answer
    x = 907.01

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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.