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Finding the Fourth Proportional to 3,033.08, 4,549.76 and 841.76

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Solution

The fourth proportional to 3,033.08, 4,549.76 and 841.76 is: 1,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.08 : 4,549.76 = 841.76 : x
  2. Step 2: Convert to fraction form
    3,033.08/4,549.76 = 841.76/x
  3. Step 3: Cross multiply
    3,033.08x = 4,549.76 × 841.76
  4. Step 4: Simplify right side
    3,033.08x = 3,829,805.98
  5. Step 5: Solve for x
    x = 3,829,805.98/3,033.08
  6. Step 6: Final answer
    x = 1,262.68

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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.