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Finding the Fourth Proportional to 3,102.51, 4,655.48 and 1,371.09

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Solution

The fourth proportional to 3,102.51, 4,655.48 and 1,371.09 is: 2,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.51 : 4,655.48 = 1,371.09 : x
  2. Step 2: Convert to fraction form
    3,102.51/4,655.48 = 1,371.09/x
  3. Step 3: Cross multiply
    3,102.51x = 4,655.48 × 1,371.09
  4. Step 4: Simplify right side
    3,102.51x = 6,383,075.22
  5. Step 5: Solve for x
    x = 6,383,075.22/3,102.51
  6. Step 6: Final answer
    x = 2,057.39

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