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Finding the Fourth Proportional to 1,597.74, 2,396.61 and 949.74

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Solution

The fourth proportional to 1,597.74, 2,396.61 and 949.74 is: 1,424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.74 : 2,396.61 = 949.74 : x
  2. Step 2: Convert to fraction form
    1,597.74/2,396.61 = 949.74/x
  3. Step 3: Cross multiply
    1,597.74x = 2,396.61 × 949.74
  4. Step 4: Simplify right side
    1,597.74x = 2,276,156.38
  5. Step 5: Solve for x
    x = 2,276,156.38/1,597.74
  6. Step 6: Final answer
    x = 1,424.61

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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.