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Finding the Fourth Proportional to 1,884.88, 2,601.54 and 1,796.98

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Solution

The fourth proportional to 1,884.88, 2,601.54 and 1,796.98 is: 2,480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.88 : 2,601.54 = 1,796.98 : x
  2. Step 2: Convert to fraction form
    1,884.88/2,601.54 = 1,796.98/x
  3. Step 3: Cross multiply
    1,884.88x = 2,601.54 × 1,796.98
  4. Step 4: Simplify right side
    1,884.88x = 4,674,915.35
  5. Step 5: Solve for x
    x = 4,674,915.35/1,884.88
  6. Step 6: Final answer
    x = 2,480.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.