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Finding the Fourth Proportional to 2,665.67, 4,018.80 and 2,477.75

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Solution

The fourth proportional to 2,665.67, 4,018.80 and 2,477.75 is: 3,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.67 : 4,018.80 = 2,477.75 : x
  2. Step 2: Convert to fraction form
    2,665.67/4,018.80 = 2,477.75/x
  3. Step 3: Cross multiply
    2,665.67x = 4,018.80 × 2,477.75
  4. Step 4: Simplify right side
    2,665.67x = 9,957,552.31
  5. Step 5: Solve for x
    x = 9,957,552.31/2,665.67
  6. Step 6: Final answer
    x = 3,735.49

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Why These Related Problems?

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