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Finding the Fourth Proportional to 3,001.29, 4,142.01 and 1,675.19

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Solution

The fourth proportional to 3,001.29, 4,142.01 and 1,675.19 is: 2,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.29 : 4,142.01 = 1,675.19 : x
  2. Step 2: Convert to fraction form
    3,001.29/4,142.01 = 1,675.19/x
  3. Step 3: Cross multiply
    3,001.29x = 4,142.01 × 1,675.19
  4. Step 4: Simplify right side
    3,001.29x = 6,938,646.46
  5. Step 5: Solve for x
    x = 6,938,646.46/3,001.29
  6. Step 6: Final answer
    x = 2,311.89

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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.