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Finding the Fourth Proportional to 2,725.76, 4,091.07 and 1,752.95

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Solution

The fourth proportional to 2,725.76, 4,091.07 and 1,752.95 is: 2,630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.76 : 4,091.07 = 1,752.95 : x
  2. Step 2: Convert to fraction form
    2,725.76/4,091.07 = 1,752.95/x
  3. Step 3: Cross multiply
    2,725.76x = 4,091.07 × 1,752.95
  4. Step 4: Simplify right side
    2,725.76x = 7,171,441.16
  5. Step 5: Solve for x
    x = 7,171,441.16/2,725.76
  6. Step 6: Final answer
    x = 2,630.99

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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.