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Finding the Fourth Proportional to 2,740.28, 4,110.50 and 891.48

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Solution

The fourth proportional to 2,740.28, 4,110.50 and 891.48 is: 1,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.28 : 4,110.50 = 891.48 : x
  2. Step 2: Convert to fraction form
    2,740.28/4,110.50 = 891.48/x
  3. Step 3: Cross multiply
    2,740.28x = 4,110.50 × 891.48
  4. Step 4: Simplify right side
    2,740.28x = 3,664,428.54
  5. Step 5: Solve for x
    x = 3,664,428.54/2,740.28
  6. Step 6: Final answer
    x = 1,337.25

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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.