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Finding the Fourth Proportional to 2,057.63, 3,086.47 and 596.93

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Solution

The fourth proportional to 2,057.63, 3,086.47 and 596.93 is: 895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.63 : 3,086.47 = 596.93 : x
  2. Step 2: Convert to fraction form
    2,057.63/3,086.47 = 596.93/x
  3. Step 3: Cross multiply
    2,057.63x = 3,086.47 × 596.93
  4. Step 4: Simplify right side
    2,057.63x = 1,842,391.85
  5. Step 5: Solve for x
    x = 1,842,391.85/2,057.63
  6. Step 6: Final answer
    x = 895.40

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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.