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Finding the Fourth Proportional to 3,178.47, 4,767.03 and 1,616.82

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Solution

The fourth proportional to 3,178.47, 4,767.03 and 1,616.82 is: 2,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.47 : 4,767.03 = 1,616.82 : x
  2. Step 2: Convert to fraction form
    3,178.47/4,767.03 = 1,616.82/x
  3. Step 3: Cross multiply
    3,178.47x = 4,767.03 × 1,616.82
  4. Step 4: Simplify right side
    3,178.47x = 7,707,429.44
  5. Step 5: Solve for x
    x = 7,707,429.44/3,178.47
  6. Step 6: Final answer
    x = 2,424.89

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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.