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Finding the Fourth Proportional to 2,725.80, 4,087.65 and 1,164.81

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Solution

The fourth proportional to 2,725.80, 4,087.65 and 1,164.81 is: 1,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.80 : 4,087.65 = 1,164.81 : x
  2. Step 2: Convert to fraction form
    2,725.80/4,087.65 = 1,164.81/x
  3. Step 3: Cross multiply
    2,725.80x = 4,087.65 × 1,164.81
  4. Step 4: Simplify right side
    2,725.80x = 4,761,335.60
  5. Step 5: Solve for x
    x = 4,761,335.60/2,725.80
  6. Step 6: Final answer
    x = 1,746.77

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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.