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Finding the Fourth Proportional to 2,277.98, 3,416.38 and 816.92

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Solution

The fourth proportional to 2,277.98, 3,416.38 and 816.92 is: 1,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.98 : 3,416.38 = 816.92 : x
  2. Step 2: Convert to fraction form
    2,277.98/3,416.38 = 816.92/x
  3. Step 3: Cross multiply
    2,277.98x = 3,416.38 × 816.92
  4. Step 4: Simplify right side
    2,277.98x = 2,790,909.15
  5. Step 5: Solve for x
    x = 2,790,909.15/2,277.98
  6. Step 6: Final answer
    x = 1,225.17

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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.