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Finding the Fourth Proportional to 2,000.65, 2,996.88 and 1,176.43

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Solution

The fourth proportional to 2,000.65, 2,996.88 and 1,176.43 is: 1,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.65 : 2,996.88 = 1,176.43 : x
  2. Step 2: Convert to fraction form
    2,000.65/2,996.88 = 1,176.43/x
  3. Step 3: Cross multiply
    2,000.65x = 2,996.88 × 1,176.43
  4. Step 4: Simplify right side
    2,000.65x = 3,525,619.54
  5. Step 5: Solve for x
    x = 3,525,619.54/2,000.65
  6. Step 6: Final answer
    x = 1,762.24

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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.