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Finding the Fourth Proportional to 3,001.98, 4,143.23 and 1,744.08

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Solution

The fourth proportional to 3,001.98, 4,143.23 and 1,744.08 is: 2,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.98 : 4,143.23 = 1,744.08 : x
  2. Step 2: Convert to fraction form
    3,001.98/4,143.23 = 1,744.08/x
  3. Step 3: Cross multiply
    3,001.98x = 4,143.23 × 1,744.08
  4. Step 4: Simplify right side
    3,001.98x = 7,226,124.58
  5. Step 5: Solve for x
    x = 7,226,124.58/3,001.98
  6. Step 6: Final answer
    x = 2,407.12

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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.