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Finding the Fourth Proportional to 1,596.18, 2,393.64 and 622.14

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Solution

The fourth proportional to 1,596.18, 2,393.64 and 622.14 is: 932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.18 : 2,393.64 = 622.14 : x
  2. Step 2: Convert to fraction form
    1,596.18/2,393.64 = 622.14/x
  3. Step 3: Cross multiply
    1,596.18x = 2,393.64 × 622.14
  4. Step 4: Simplify right side
    1,596.18x = 1,489,179.19
  5. Step 5: Solve for x
    x = 1,489,179.19/1,596.18
  6. Step 6: Final answer
    x = 932.96

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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.