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Finding the Fourth Proportional to 3,070.92, 4,237.77 and 1,744.56

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Solution

The fourth proportional to 3,070.92, 4,237.77 and 1,744.56 is: 2,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.92 : 4,237.77 = 1,744.56 : x
  2. Step 2: Convert to fraction form
    3,070.92/4,237.77 = 1,744.56/x
  3. Step 3: Cross multiply
    3,070.92x = 4,237.77 × 1,744.56
  4. Step 4: Simplify right side
    3,070.92x = 7,393,044.03
  5. Step 5: Solve for x
    x = 7,393,044.03/3,070.92
  6. Step 6: Final answer
    x = 2,407.44

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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.