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Finding the Fourth Proportional to 3,204.77, 4,806.68 and 1,013.51

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Solution

The fourth proportional to 3,204.77, 4,806.68 and 1,013.51 is: 1,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.77 : 4,806.68 = 1,013.51 : x
  2. Step 2: Convert to fraction form
    3,204.77/4,806.68 = 1,013.51/x
  3. Step 3: Cross multiply
    3,204.77x = 4,806.68 × 1,013.51
  4. Step 4: Simplify right side
    3,204.77x = 4,871,625.20
  5. Step 5: Solve for x
    x = 4,871,625.20/3,204.77
  6. Step 6: Final answer
    x = 1,520.12

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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.