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Finding the Fourth Proportional to 3,033.05, 4,549.59 and 841.62

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Solution

The fourth proportional to 3,033.05, 4,549.59 and 841.62 is: 1,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.05 : 4,549.59 = 841.62 : x
  2. Step 2: Convert to fraction form
    3,033.05/4,549.59 = 841.62/x
  3. Step 3: Cross multiply
    3,033.05x = 4,549.59 × 841.62
  4. Step 4: Simplify right side
    3,033.05x = 3,829,043.00
  5. Step 5: Solve for x
    x = 3,829,043.00/3,033.05
  6. Step 6: Final answer
    x = 1,262.44

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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.