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Finding the Fourth Proportional to 2,989.09, 4,124.54 and 1,662.62

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Solution

The fourth proportional to 2,989.09, 4,124.54 and 1,662.62 is: 2,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.09 : 4,124.54 = 1,662.62 : x
  2. Step 2: Convert to fraction form
    2,989.09/4,124.54 = 1,662.62/x
  3. Step 3: Cross multiply
    2,989.09x = 4,124.54 × 1,662.62
  4. Step 4: Simplify right side
    2,989.09x = 6,857,534.38
  5. Step 5: Solve for x
    x = 6,857,534.38/2,989.09
  6. Step 6: Final answer
    x = 2,294.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.