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Finding the Fourth Proportional to 2,598.58, 3,899.75 and 1,546.80

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Solution

The fourth proportional to 2,598.58, 3,899.75 and 1,546.80 is: 2,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.58 : 3,899.75 = 1,546.80 : x
  2. Step 2: Convert to fraction form
    2,598.58/3,899.75 = 1,546.80/x
  3. Step 3: Cross multiply
    2,598.58x = 3,899.75 × 1,546.80
  4. Step 4: Simplify right side
    2,598.58x = 6,032,110.94
  5. Step 5: Solve for x
    x = 6,032,110.94/2,598.58
  6. Step 6: Final answer
    x = 2,321.31

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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.