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Finding the Fourth Proportional to 3,206.24, 4,809.95 and 985.03

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Solution

The fourth proportional to 3,206.24, 4,809.95 and 985.03 is: 1,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.24 : 4,809.95 = 985.03 : x
  2. Step 2: Convert to fraction form
    3,206.24/4,809.95 = 985.03/x
  3. Step 3: Cross multiply
    3,206.24x = 4,809.95 × 985.03
  4. Step 4: Simplify right side
    3,206.24x = 4,737,916.07
  5. Step 5: Solve for x
    x = 4,737,916.07/3,206.24
  6. Step 6: Final answer
    x = 1,477.72

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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.