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Finding the Fourth Proportional to 2,277.75, 3,416.04 and 816.92

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Solution

The fourth proportional to 2,277.75, 3,416.04 and 816.92 is: 1,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.75 : 3,416.04 = 816.92 : x
  2. Step 2: Convert to fraction form
    2,277.75/3,416.04 = 816.92/x
  3. Step 3: Cross multiply
    2,277.75x = 3,416.04 × 816.92
  4. Step 4: Simplify right side
    2,277.75x = 2,790,627.13
  5. Step 5: Solve for x
    x = 2,790,627.13/2,277.75
  6. Step 6: Final answer
    x = 1,225.17

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1.5x scale

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.