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Finding the Fourth Proportional to 3,343.41, 5,024.19 and 1,784.49

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Solution

The fourth proportional to 3,343.41, 5,024.19 and 1,784.49 is: 2,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.41 : 5,024.19 = 1,784.49 : x
  2. Step 2: Convert to fraction form
    3,343.41/5,024.19 = 1,784.49/x
  3. Step 3: Cross multiply
    3,343.41x = 5,024.19 × 1,784.49
  4. Step 4: Simplify right side
    3,343.41x = 8,965,616.81
  5. Step 5: Solve for x
    x = 8,965,616.81/3,343.41
  6. Step 6: Final answer
    x = 2,681.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.