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Finding the Fourth Proportional to 1,596.64, 2,396.16 and 731.56

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Solution

The fourth proportional to 1,596.64, 2,396.16 and 731.56 is: 1,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.64 : 2,396.16 = 731.56 : x
  2. Step 2: Convert to fraction form
    1,596.64/2,396.16 = 731.56/x
  3. Step 3: Cross multiply
    1,596.64x = 2,396.16 × 731.56
  4. Step 4: Simplify right side
    1,596.64x = 1,752,934.81
  5. Step 5: Solve for x
    x = 1,752,934.81/1,596.64
  6. Step 6: Final answer
    x = 1,097.89

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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.