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Finding the Fourth Proportional to 2,598.42, 3,586.23 and 1,479.42

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Solution

The fourth proportional to 2,598.42, 3,586.23 and 1,479.42 is: 2,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.42 : 3,586.23 = 1,479.42 : x
  2. Step 2: Convert to fraction form
    2,598.42/3,586.23 = 1,479.42/x
  3. Step 3: Cross multiply
    2,598.42x = 3,586.23 × 1,479.42
  4. Step 4: Simplify right side
    2,598.42x = 5,305,540.39
  5. Step 5: Solve for x
    x = 5,305,540.39/2,598.42
  6. Step 6: Final answer
    x = 2,041.83

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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.