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Finding the Fourth Proportional to 3,116.38, 4,300.68 and 1,700.09

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Solution

The fourth proportional to 3,116.38, 4,300.68 and 1,700.09 is: 2,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.38 : 4,300.68 = 1,700.09 : x
  2. Step 2: Convert to fraction form
    3,116.38/4,300.68 = 1,700.09/x
  3. Step 3: Cross multiply
    3,116.38x = 4,300.68 × 1,700.09
  4. Step 4: Simplify right side
    3,116.38x = 7,311,519.43
  5. Step 5: Solve for x
    x = 7,311,519.43/3,116.38
  6. Step 6: Final answer
    x = 2,346.16

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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.