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Finding the Fourth Proportional to 2,146.91, 2,965.52 and 1,775.39

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Solution

The fourth proportional to 2,146.91, 2,965.52 and 1,775.39 is: 2,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.91 : 2,965.52 = 1,775.39 : x
  2. Step 2: Convert to fraction form
    2,146.91/2,965.52 = 1,775.39/x
  3. Step 3: Cross multiply
    2,146.91x = 2,965.52 × 1,775.39
  4. Step 4: Simplify right side
    2,146.91x = 5,264,945.68
  5. Step 5: Solve for x
    x = 5,264,945.68/2,146.91
  6. Step 6: Final answer
    x = 2,452.34

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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.