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Finding the Fourth Proportional to 2,079, 3,118.53 and 598.28

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Solution

The fourth proportional to 2,079, 3,118.53 and 598.28 is: 897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079 : 3,118.53 = 598.28 : x
  2. Step 2: Convert to fraction form
    2,079/3,118.53 = 598.28/x
  3. Step 3: Cross multiply
    2,079x = 3,118.53 × 598.28
  4. Step 4: Simplify right side
    2,079x = 1,865,738.54
  5. Step 5: Solve for x
    x = 1,865,738.54/2,079
  6. Step 6: Final answer
    x = 897.42

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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.