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Finding the Fourth Proportional to 2,740.94, 4,111.61 and 891.91

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Solution

The fourth proportional to 2,740.94, 4,111.61 and 891.91 is: 1,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.94 : 4,111.61 = 891.91 : x
  2. Step 2: Convert to fraction form
    2,740.94/4,111.61 = 891.91/x
  3. Step 3: Cross multiply
    2,740.94x = 4,111.61 × 891.91
  4. Step 4: Simplify right side
    2,740.94x = 3,667,186.08
  5. Step 5: Solve for x
    x = 3,667,186.08/2,740.94
  6. Step 6: Final answer
    x = 1,337.93

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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.