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Finding the Fourth Proportional to 3,016.70, 4,162.96 and 1,690.39

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Solution

The fourth proportional to 3,016.70, 4,162.96 and 1,690.39 is: 2,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.70 : 4,162.96 = 1,690.39 : x
  2. Step 2: Convert to fraction form
    3,016.70/4,162.96 = 1,690.39/x
  3. Step 3: Cross multiply
    3,016.70x = 4,162.96 × 1,690.39
  4. Step 4: Simplify right side
    3,016.70x = 7,037,025.95
  5. Step 5: Solve for x
    x = 7,037,025.95/3,016.70
  6. Step 6: Final answer
    x = 2,332.69

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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.