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Finding the Fourth Proportional to 3,001.30, 4,142.00 and 1,675.26

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Solution

The fourth proportional to 3,001.30, 4,142.00 and 1,675.26 is: 2,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.30 : 4,142.00 = 1,675.26 : x
  2. Step 2: Convert to fraction form
    3,001.30/4,142.00 = 1,675.26/x
  3. Step 3: Cross multiply
    3,001.30x = 4,142.00 × 1,675.26
  4. Step 4: Simplify right side
    3,001.30x = 6,938,918.54
  5. Step 5: Solve for x
    x = 6,938,918.54/3,001.30
  6. Step 6: Final answer
    x = 2,311.97

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