Home / 1,696.14-2,546.64-1,666.98

Finding the Fourth Proportional to 1,696.14, 2,546.64 and 1,666.98

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Solution

The fourth proportional to 1,696.14, 2,546.64 and 1,666.98 is: 2,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.14 : 2,546.64 = 1,666.98 : x
  2. Step 2: Convert to fraction form
    1,696.14/2,546.64 = 1,666.98/x
  3. Step 3: Cross multiply
    1,696.14x = 2,546.64 × 1,666.98
  4. Step 4: Simplify right side
    1,696.14x = 4,245,197.95
  5. Step 5: Solve for x
    x = 4,245,197.95/1,696.14
  6. Step 6: Final answer
    x = 2,502.86

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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.