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Finding the Fourth Proportional to 3,101.37, 4,279.88 and 1,685.06

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Solution

The fourth proportional to 3,101.37, 4,279.88 and 1,685.06 is: 2,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.37 : 4,279.88 = 1,685.06 : x
  2. Step 2: Convert to fraction form
    3,101.37/4,279.88 = 1,685.06/x
  3. Step 3: Cross multiply
    3,101.37x = 4,279.88 × 1,685.06
  4. Step 4: Simplify right side
    3,101.37x = 7,211,860.75
  5. Step 5: Solve for x
    x = 7,211,860.75/3,101.37
  6. Step 6: Final answer
    x = 2,325.38

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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.