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Finding the Fourth Proportional to 3,033.24, 4,549.83 and 841.96

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Solution

The fourth proportional to 3,033.24, 4,549.83 and 841.96 is: 1,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.24 : 4,549.83 = 841.96 : x
  2. Step 2: Convert to fraction form
    3,033.24/4,549.83 = 841.96/x
  3. Step 3: Cross multiply
    3,033.24x = 4,549.83 × 841.96
  4. Step 4: Simplify right side
    3,033.24x = 3,830,763.49
  5. Step 5: Solve for x
    x = 3,830,763.49/3,033.24
  6. Step 6: Final answer
    x = 1,262.93

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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.