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Finding the Fourth Proportional to 2,006.05, 3,009.44 and 707.22

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Solution

The fourth proportional to 2,006.05, 3,009.44 and 707.22 is: 1,060.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.05 : 3,009.44 = 707.22 : x
  2. Step 2: Convert to fraction form
    2,006.05/3,009.44 = 707.22/x
  3. Step 3: Cross multiply
    2,006.05x = 3,009.44 × 707.22
  4. Step 4: Simplify right side
    2,006.05x = 2,128,336.16
  5. Step 5: Solve for x
    x = 2,128,336.16/2,006.05
  6. Step 6: Final answer
    x = 1,060.96

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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.