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Finding the Fourth Proportional to 2,404.47, 3,320.42 and 1,769.43

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Solution

The fourth proportional to 2,404.47, 3,320.42 and 1,769.43 is: 2,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.47 : 3,320.42 = 1,769.43 : x
  2. Step 2: Convert to fraction form
    2,404.47/3,320.42 = 1,769.43/x
  3. Step 3: Cross multiply
    2,404.47x = 3,320.42 × 1,769.43
  4. Step 4: Simplify right side
    2,404.47x = 5,875,241.91
  5. Step 5: Solve for x
    x = 5,875,241.91/2,404.47
  6. Step 6: Final answer
    x = 2,443.47

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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.