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Finding the Fourth Proportional to 3,178.77, 4,769.52 and 1,536.55

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Solution

The fourth proportional to 3,178.77, 4,769.52 and 1,536.55 is: 2,305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.77 : 4,769.52 = 1,536.55 : x
  2. Step 2: Convert to fraction form
    3,178.77/4,769.52 = 1,536.55/x
  3. Step 3: Cross multiply
    3,178.77x = 4,769.52 × 1,536.55
  4. Step 4: Simplify right side
    3,178.77x = 7,328,605.96
  5. Step 5: Solve for x
    x = 7,328,605.96/3,178.77
  6. Step 6: Final answer
    x = 2,305.48

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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.