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Finding the Fourth Proportional to 2,661.54, 3,965.57 and 2,512.50

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Solution

The fourth proportional to 2,661.54, 3,965.57 and 2,512.50 is: 3,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.54 : 3,965.57 = 2,512.50 : x
  2. Step 2: Convert to fraction form
    2,661.54/3,965.57 = 2,512.50/x
  3. Step 3: Cross multiply
    2,661.54x = 3,965.57 × 2,512.50
  4. Step 4: Simplify right side
    2,661.54x = 9,963,482.06
  5. Step 5: Solve for x
    x = 9,963,482.06/2,661.54
  6. Step 6: Final answer
    x = 3,743.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.