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Finding the Fourth Proportional to 2,740.81, 4,111.26 and 891.92

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Solution

The fourth proportional to 2,740.81, 4,111.26 and 891.92 is: 1,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.81 : 4,111.26 = 891.92 : x
  2. Step 2: Convert to fraction form
    2,740.81/4,111.26 = 891.92/x
  3. Step 3: Cross multiply
    2,740.81x = 4,111.26 × 891.92
  4. Step 4: Simplify right side
    2,740.81x = 3,666,902.95
  5. Step 5: Solve for x
    x = 3,666,902.95/2,740.81
  6. Step 6: Final answer
    x = 1,337.89

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