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Finding the Fourth Proportional to 2,741.11, 4,110.69 and 891.88

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Solution

The fourth proportional to 2,741.11, 4,110.69 and 891.88 is: 1,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.11 : 4,110.69 = 891.88 : x
  2. Step 2: Convert to fraction form
    2,741.11/4,110.69 = 891.88/x
  3. Step 3: Cross multiply
    2,741.11x = 4,110.69 × 891.88
  4. Step 4: Simplify right side
    2,741.11x = 3,666,232.76
  5. Step 5: Solve for x
    x = 3,666,232.76/2,741.11
  6. Step 6: Final answer
    x = 1,337.50

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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.