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Finding the Fourth Proportional to 2,009.62, 3,011.99 and 852.94

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Solution

The fourth proportional to 2,009.62, 3,011.99 and 852.94 is: 1,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.62 : 3,011.99 = 852.94 : x
  2. Step 2: Convert to fraction form
    2,009.62/3,011.99 = 852.94/x
  3. Step 3: Cross multiply
    2,009.62x = 3,011.99 × 852.94
  4. Step 4: Simplify right side
    2,009.62x = 2,569,041.35
  5. Step 5: Solve for x
    x = 2,569,041.35/2,009.62
  6. Step 6: Final answer
    x = 1,278.37

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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.