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Finding the Fourth Proportional to 2,168, 2,992.38 and 1,237.04

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Solution

The fourth proportional to 2,168, 2,992.38 and 1,237.04 is: 1,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168 : 2,992.38 = 1,237.04 : x
  2. Step 2: Convert to fraction form
    2,168/2,992.38 = 1,237.04/x
  3. Step 3: Cross multiply
    2,168x = 2,992.38 × 1,237.04
  4. Step 4: Simplify right side
    2,168x = 3,701,693.76
  5. Step 5: Solve for x
    x = 3,701,693.76/2,168
  6. Step 6: Final answer
    x = 1,707.42

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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.