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Finding the Fourth Proportional to 2,001.94, 3,002.34 and 596.64

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Solution

The fourth proportional to 2,001.94, 3,002.34 and 596.64 is: 894.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.94 : 3,002.34 = 596.64 : x
  2. Step 2: Convert to fraction form
    2,001.94/3,002.34 = 596.64/x
  3. Step 3: Cross multiply
    2,001.94x = 3,002.34 × 596.64
  4. Step 4: Simplify right side
    2,001.94x = 1,791,319.51
  5. Step 5: Solve for x
    x = 1,791,319.51/2,001.94
  6. Step 6: Final answer
    x = 894.79

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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.