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Finding the Fourth Proportional to 2,597.44, 3,584.42 and 1,418.62

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Solution

The fourth proportional to 2,597.44, 3,584.42 and 1,418.62 is: 1,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.44 : 3,584.42 = 1,418.62 : x
  2. Step 2: Convert to fraction form
    2,597.44/3,584.42 = 1,418.62/x
  3. Step 3: Cross multiply
    2,597.44x = 3,584.42 × 1,418.62
  4. Step 4: Simplify right side
    2,597.44x = 5,084,929.90
  5. Step 5: Solve for x
    x = 5,084,929.90/2,597.44
  6. Step 6: Final answer
    x = 1,957.67

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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.