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Finding the Fourth Proportional to 2,086.04, 3,129.02 and 853.16

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Solution

The fourth proportional to 2,086.04, 3,129.02 and 853.16 is: 1,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.04 : 3,129.02 = 853.16 : x
  2. Step 2: Convert to fraction form
    2,086.04/3,129.02 = 853.16/x
  3. Step 3: Cross multiply
    2,086.04x = 3,129.02 × 853.16
  4. Step 4: Simplify right side
    2,086.04x = 2,669,554.70
  5. Step 5: Solve for x
    x = 2,669,554.70/2,086.04
  6. Step 6: Final answer
    x = 1,279.72

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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.