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Finding the Fourth Proportional to 2,173, 2,999.12 and 1,648.12

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Solution

The fourth proportional to 2,173, 2,999.12 and 1,648.12 is: 2,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173 : 2,999.12 = 1,648.12 : x
  2. Step 2: Convert to fraction form
    2,173/2,999.12 = 1,648.12/x
  3. Step 3: Cross multiply
    2,173x = 2,999.12 × 1,648.12
  4. Step 4: Simplify right side
    2,173x = 4,942,909.65
  5. Step 5: Solve for x
    x = 4,942,909.65/2,173
  6. Step 6: Final answer
    x = 2,274.69

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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.