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Finding the Fourth Proportional to 1,620.85, 2,429.89 and 743.06

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Solution

The fourth proportional to 1,620.85, 2,429.89 and 743.06 is: 1,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.85 : 2,429.89 = 743.06 : x
  2. Step 2: Convert to fraction form
    1,620.85/2,429.89 = 743.06/x
  3. Step 3: Cross multiply
    1,620.85x = 2,429.89 × 743.06
  4. Step 4: Simplify right side
    1,620.85x = 1,805,538.20
  5. Step 5: Solve for x
    x = 1,805,538.20/1,620.85
  6. Step 6: Final answer
    x = 1,113.95

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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.