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Finding the Fourth Proportional to 2,129.52, 2,938.72 and 1,185.29

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Solution

The fourth proportional to 2,129.52, 2,938.72 and 1,185.29 is: 1,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.52 : 2,938.72 = 1,185.29 : x
  2. Step 2: Convert to fraction form
    2,129.52/2,938.72 = 1,185.29/x
  3. Step 3: Cross multiply
    2,129.52x = 2,938.72 × 1,185.29
  4. Step 4: Simplify right side
    2,129.52x = 3,483,247.54
  5. Step 5: Solve for x
    x = 3,483,247.54/2,129.52
  6. Step 6: Final answer
    x = 1,635.69

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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.