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Finding the Fourth Proportional to 2,133.51, 3,200.51 and 594.51

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Solution

The fourth proportional to 2,133.51, 3,200.51 and 594.51 is: 891.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.51 : 3,200.51 = 594.51 : x
  2. Step 2: Convert to fraction form
    2,133.51/3,200.51 = 594.51/x
  3. Step 3: Cross multiply
    2,133.51x = 3,200.51 × 594.51
  4. Step 4: Simplify right side
    2,133.51x = 1,902,732.23
  5. Step 5: Solve for x
    x = 1,902,732.23/2,133.51
  6. Step 6: Final answer
    x = 891.83

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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.