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Finding the Fourth Proportional to 3,006.62, 4,149.14 and 1,748.42

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Solution

The fourth proportional to 3,006.62, 4,149.14 and 1,748.42 is: 2,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.62 : 4,149.14 = 1,748.42 : x
  2. Step 2: Convert to fraction form
    3,006.62/4,149.14 = 1,748.42/x
  3. Step 3: Cross multiply
    3,006.62x = 4,149.14 × 1,748.42
  4. Step 4: Simplify right side
    3,006.62x = 7,254,409.87
  5. Step 5: Solve for x
    x = 7,254,409.87/3,006.62
  6. Step 6: Final answer
    x = 2,412.81

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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.