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Finding the Fourth Proportional to 2,412.05, 3,618.50 and 852.95

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Solution

The fourth proportional to 2,412.05, 3,618.50 and 852.95 is: 1,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.05 : 3,618.50 = 852.95 : x
  2. Step 2: Convert to fraction form
    2,412.05/3,618.50 = 852.95/x
  3. Step 3: Cross multiply
    2,412.05x = 3,618.50 × 852.95
  4. Step 4: Simplify right side
    2,412.05x = 3,086,395.31
  5. Step 5: Solve for x
    x = 3,086,395.31/2,412.05
  6. Step 6: Final answer
    x = 1,279.58

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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.