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Finding the Fourth Proportional to 3,001.64, 4,142.27 and 1,675.33

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Solution

The fourth proportional to 3,001.64, 4,142.27 and 1,675.33 is: 2,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.64 : 4,142.27 = 1,675.33 : x
  2. Step 2: Convert to fraction form
    3,001.64/4,142.27 = 1,675.33/x
  3. Step 3: Cross multiply
    3,001.64x = 4,142.27 × 1,675.33
  4. Step 4: Simplify right side
    3,001.64x = 6,939,663.03
  5. Step 5: Solve for x
    x = 6,939,663.03/3,001.64
  6. Step 6: Final answer
    x = 2,311.96

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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.