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Finding the Fourth Proportional to 3,033.84, 4,549.96 and 2,153.76

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Solution

The fourth proportional to 3,033.84, 4,549.96 and 2,153.76 is: 3,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.84 : 4,549.96 = 2,153.76 : x
  2. Step 2: Convert to fraction form
    3,033.84/4,549.96 = 2,153.76/x
  3. Step 3: Cross multiply
    3,033.84x = 4,549.96 × 2,153.76
  4. Step 4: Simplify right side
    3,033.84x = 9,799,521.85
  5. Step 5: Solve for x
    x = 9,799,521.85/3,033.84
  6. Step 6: Final answer
    x = 3,230.07

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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.