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Finding the Fourth Proportional to 2,640.51, 3,955.77 and 2,552.67

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Solution

The fourth proportional to 2,640.51, 3,955.77 and 2,552.67 is: 3,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.51 : 3,955.77 = 2,552.67 : x
  2. Step 2: Convert to fraction form
    2,640.51/3,955.77 = 2,552.67/x
  3. Step 3: Cross multiply
    2,640.51x = 3,955.77 × 2,552.67
  4. Step 4: Simplify right side
    2,640.51x = 10,097,775.41
  5. Step 5: Solve for x
    x = 10,097,775.41/2,640.51
  6. Step 6: Final answer
    x = 3,824.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.