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Finding the Fourth Proportional to 2,277.90, 3,416.94 and 816.54

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Solution

The fourth proportional to 2,277.90, 3,416.94 and 816.54 is: 1,224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.90 : 3,416.94 = 816.54 : x
  2. Step 2: Convert to fraction form
    2,277.90/3,416.94 = 816.54/x
  3. Step 3: Cross multiply
    2,277.90x = 3,416.94 × 816.54
  4. Step 4: Simplify right side
    2,277.90x = 2,790,068.19
  5. Step 5: Solve for x
    x = 2,790,068.19/2,277.90
  6. Step 6: Final answer
    x = 1,224.84

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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.