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Finding the Fourth Proportional to 3,124.50, 4,687.02 and 816

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Solution

The fourth proportional to 3,124.50, 4,687.02 and 816 is: 1,224.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.50 : 4,687.02 = 816 : x
  2. Step 2: Convert to fraction form
    3,124.50/4,687.02 = 816/x
  3. Step 3: Cross multiply
    3,124.50x = 4,687.02 × 816
  4. Step 4: Simplify right side
    3,124.50x = 3,824,608.32
  5. Step 5: Solve for x
    x = 3,824,608.32/3,124.50
  6. Step 6: Final answer
    x = 1,224.07

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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.