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Finding the Fourth Proportional to 2,892, 4,338.20 and 1,160.63

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Solution

The fourth proportional to 2,892, 4,338.20 and 1,160.63 is: 1,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892 : 4,338.20 = 1,160.63 : x
  2. Step 2: Convert to fraction form
    2,892/4,338.20 = 1,160.63/x
  3. Step 3: Cross multiply
    2,892x = 4,338.20 × 1,160.63
  4. Step 4: Simplify right side
    2,892x = 5,035,026.28
  5. Step 5: Solve for x
    x = 5,035,026.28/2,892
  6. Step 6: Final answer
    x = 1,741.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.