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Finding the Fourth Proportional to 4,513.08, 6,769.80 and 1,226.46

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Solution

The fourth proportional to 4,513.08, 6,769.80 and 1,226.46 is: 1,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513.08 : 6,769.80 = 1,226.46 : x
  2. Step 2: Convert to fraction form
    4,513.08/6,769.80 = 1,226.46/x
  3. Step 3: Cross multiply
    4,513.08x = 6,769.80 × 1,226.46
  4. Step 4: Simplify right side
    4,513.08x = 8,302,888.91
  5. Step 5: Solve for x
    x = 8,302,888.91/4,513.08
  6. Step 6: Final answer
    x = 1,839.74

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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.