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Finding the Fourth Proportional to 2,277.78, 3,416.70 and 634.30

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Solution

The fourth proportional to 2,277.78, 3,416.70 and 634.30 is: 951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.78 : 3,416.70 = 634.30 : x
  2. Step 2: Convert to fraction form
    2,277.78/3,416.70 = 634.30/x
  3. Step 3: Cross multiply
    2,277.78x = 3,416.70 × 634.30
  4. Step 4: Simplify right side
    2,277.78x = 2,167,212.81
  5. Step 5: Solve for x
    x = 2,167,212.81/2,277.78
  6. Step 6: Final answer
    x = 951.46

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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.