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Finding the Fourth Proportional to 1,594.45, 2,200.22 and 965.33

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Solution

The fourth proportional to 1,594.45, 2,200.22 and 965.33 is: 1,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.45 : 2,200.22 = 965.33 : x
  2. Step 2: Convert to fraction form
    1,594.45/2,200.22 = 965.33/x
  3. Step 3: Cross multiply
    1,594.45x = 2,200.22 × 965.33
  4. Step 4: Simplify right side
    1,594.45x = 2,123,927.37
  5. Step 5: Solve for x
    x = 2,123,927.37/1,594.45
  6. Step 6: Final answer
    x = 1,332.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.