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Finding the Fourth Proportional to 2,689.23, 4,033.53 and 933.91

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Solution

The fourth proportional to 2,689.23, 4,033.53 and 933.91 is: 1,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.23 : 4,033.53 = 933.91 : x
  2. Step 2: Convert to fraction form
    2,689.23/4,033.53 = 933.91/x
  3. Step 3: Cross multiply
    2,689.23x = 4,033.53 × 933.91
  4. Step 4: Simplify right side
    2,689.23x = 3,766,954.00
  5. Step 5: Solve for x
    x = 3,766,954.00/2,689.23
  6. Step 6: Final answer
    x = 1,400.76

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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.