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Finding the Fourth Proportional to 3,001.77, 4,142.75 and 1,743.21

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Solution

The fourth proportional to 3,001.77, 4,142.75 and 1,743.21 is: 2,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.77 : 4,142.75 = 1,743.21 : x
  2. Step 2: Convert to fraction form
    3,001.77/4,142.75 = 1,743.21/x
  3. Step 3: Cross multiply
    3,001.77x = 4,142.75 × 1,743.21
  4. Step 4: Simplify right side
    3,001.77x = 7,221,674.51
  5. Step 5: Solve for x
    x = 7,221,674.51/3,001.77
  6. Step 6: Final answer
    x = 2,405.81

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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.