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Finding the Fourth Proportional to 2,976.65, 4,461.92 and 2,003.03

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Solution

The fourth proportional to 2,976.65, 4,461.92 and 2,003.03 is: 3,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.65 : 4,461.92 = 2,003.03 : x
  2. Step 2: Convert to fraction form
    2,976.65/4,461.92 = 2,003.03/x
  3. Step 3: Cross multiply
    2,976.65x = 4,461.92 × 2,003.03
  4. Step 4: Simplify right side
    2,976.65x = 8,937,349.60
  5. Step 5: Solve for x
    x = 8,937,349.60/2,976.65
  6. Step 6: Final answer
    x = 3,002.49

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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.