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Finding the Fourth Proportional to 2,877.97, 4,313.02 and 2,174.60

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Solution

The fourth proportional to 2,877.97, 4,313.02 and 2,174.60 is: 3,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.97 : 4,313.02 = 2,174.60 : x
  2. Step 2: Convert to fraction form
    2,877.97/4,313.02 = 2,174.60/x
  3. Step 3: Cross multiply
    2,877.97x = 4,313.02 × 2,174.60
  4. Step 4: Simplify right side
    2,877.97x = 9,379,104.07
  5. Step 5: Solve for x
    x = 9,379,104.07/2,877.97
  6. Step 6: Final answer
    x = 3,258.93

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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.