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Finding the Fourth Proportional to 2,129.57, 2,938.49 and 1,185.38

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Solution

The fourth proportional to 2,129.57, 2,938.49 and 1,185.38 is: 1,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.57 : 2,938.49 = 1,185.38 : x
  2. Step 2: Convert to fraction form
    2,129.57/2,938.49 = 1,185.38/x
  3. Step 3: Cross multiply
    2,129.57x = 2,938.49 × 1,185.38
  4. Step 4: Simplify right side
    2,129.57x = 3,483,235.32
  5. Step 5: Solve for x
    x = 3,483,235.32/2,129.57
  6. Step 6: Final answer
    x = 1,635.65

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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.