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Finding the Fourth Proportional to 3,002.54, 4,511.84 and 1,616.76

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Solution

The fourth proportional to 3,002.54, 4,511.84 and 1,616.76 is: 2,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.54 : 4,511.84 = 1,616.76 : x
  2. Step 2: Convert to fraction form
    3,002.54/4,511.84 = 1,616.76/x
  3. Step 3: Cross multiply
    3,002.54x = 4,511.84 × 1,616.76
  4. Step 4: Simplify right side
    3,002.54x = 7,294,554.35
  5. Step 5: Solve for x
    x = 7,294,554.35/3,002.54
  6. Step 6: Final answer
    x = 2,429.47

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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.