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Finding the Fourth Proportional to 2,152.75, 3,245.77 and 1,725.07

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Solution

The fourth proportional to 2,152.75, 3,245.77 and 1,725.07 is: 2,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.75 : 3,245.77 = 1,725.07 : x
  2. Step 2: Convert to fraction form
    2,152.75/3,245.77 = 1,725.07/x
  3. Step 3: Cross multiply
    2,152.75x = 3,245.77 × 1,725.07
  4. Step 4: Simplify right side
    2,152.75x = 5,599,180.45
  5. Step 5: Solve for x
    x = 5,599,180.45/2,152.75
  6. Step 6: Final answer
    x = 2,600.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.