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Finding the Fourth Proportional to 2,496.42, 3,744.84 and 853.08

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Solution

The fourth proportional to 2,496.42, 3,744.84 and 853.08 is: 1,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.42 : 3,744.84 = 853.08 : x
  2. Step 2: Convert to fraction form
    2,496.42/3,744.84 = 853.08/x
  3. Step 3: Cross multiply
    2,496.42x = 3,744.84 × 853.08
  4. Step 4: Simplify right side
    2,496.42x = 3,194,648.11
  5. Step 5: Solve for x
    x = 3,194,648.11/2,496.42
  6. Step 6: Final answer
    x = 1,279.69

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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.