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Finding the Fourth Proportional to 3,033.15, 4,549.73 and 841.88

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Solution

The fourth proportional to 3,033.15, 4,549.73 and 841.88 is: 1,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.15 : 4,549.73 = 841.88 : x
  2. Step 2: Convert to fraction form
    3,033.15/4,549.73 = 841.88/x
  3. Step 3: Cross multiply
    3,033.15x = 4,549.73 × 841.88
  4. Step 4: Simplify right side
    3,033.15x = 3,830,340.17
  5. Step 5: Solve for x
    x = 3,830,340.17/3,033.15
  6. Step 6: Final answer
    x = 1,262.82

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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.