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Finding the Fourth Proportional to 3,033.09, 4,549.82 and 953.17

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Solution

The fourth proportional to 3,033.09, 4,549.82 and 953.17 is: 1,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.09 : 4,549.82 = 953.17 : x
  2. Step 2: Convert to fraction form
    3,033.09/4,549.82 = 953.17/x
  3. Step 3: Cross multiply
    3,033.09x = 4,549.82 × 953.17
  4. Step 4: Simplify right side
    3,033.09x = 4,336,751.93
  5. Step 5: Solve for x
    x = 4,336,751.93/3,033.09
  6. Step 6: Final answer
    x = 1,429.81

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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.