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Finding the Fourth Proportional to 2,741.17, 4,110.89 and 891.86

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Solution

The fourth proportional to 2,741.17, 4,110.89 and 891.86 is: 1,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.17 : 4,110.89 = 891.86 : x
  2. Step 2: Convert to fraction form
    2,741.17/4,110.89 = 891.86/x
  3. Step 3: Cross multiply
    2,741.17x = 4,110.89 × 891.86
  4. Step 4: Simplify right side
    2,741.17x = 3,666,338.36
  5. Step 5: Solve for x
    x = 3,666,338.36/2,741.17
  6. Step 6: Final answer
    x = 1,337.51

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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.