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Finding the Fourth Proportional to 2,289.16, 3,157.62 and 2,009.17

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Solution

The fourth proportional to 2,289.16, 3,157.62 and 2,009.17 is: 2,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.16 : 3,157.62 = 2,009.17 : x
  2. Step 2: Convert to fraction form
    2,289.16/3,157.62 = 2,009.17/x
  3. Step 3: Cross multiply
    2,289.16x = 3,157.62 × 2,009.17
  4. Step 4: Simplify right side
    2,289.16x = 6,344,195.38
  5. Step 5: Solve for x
    x = 6,344,195.38/2,289.16
  6. Step 6: Final answer
    x = 2,771.41

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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.