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Finding the Fourth Proportional to 2,740.10, 4,109.77 and 891.25

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Solution

The fourth proportional to 2,740.10, 4,109.77 and 891.25 is: 1,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.10 : 4,109.77 = 891.25 : x
  2. Step 2: Convert to fraction form
    2,740.10/4,109.77 = 891.25/x
  3. Step 3: Cross multiply
    2,740.10x = 4,109.77 × 891.25
  4. Step 4: Simplify right side
    2,740.10x = 3,662,820.01
  5. Step 5: Solve for x
    x = 3,662,820.01/2,740.10
  6. Step 6: Final answer
    x = 1,336.75

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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.