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Finding the Fourth Proportional to 4,552.99, 6,828.99 and 1,630.90

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Solution

The fourth proportional to 4,552.99, 6,828.99 and 1,630.90 is: 2,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.99 : 6,828.99 = 1,630.90 : x
  2. Step 2: Convert to fraction form
    4,552.99/6,828.99 = 1,630.90/x
  3. Step 3: Cross multiply
    4,552.99x = 6,828.99 × 1,630.90
  4. Step 4: Simplify right side
    4,552.99x = 11,137,399.79
  5. Step 5: Solve for x
    x = 11,137,399.79/4,552.99
  6. Step 6: Final answer
    x = 2,446.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.