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Finding the Fourth Proportional to 2,133.26, 3,200.11 and 594.26

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Solution

The fourth proportional to 2,133.26, 3,200.11 and 594.26 is: 891.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.26 : 3,200.11 = 594.26 : x
  2. Step 2: Convert to fraction form
    2,133.26/3,200.11 = 594.26/x
  3. Step 3: Cross multiply
    2,133.26x = 3,200.11 × 594.26
  4. Step 4: Simplify right side
    2,133.26x = 1,901,697.37
  5. Step 5: Solve for x
    x = 1,901,697.37/2,133.26
  6. Step 6: Final answer
    x = 891.45

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1.5x scale

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.