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Finding the Fourth Proportional to 2,277.42, 3,415.92 and 633.84

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Solution

The fourth proportional to 2,277.42, 3,415.92 and 633.84 is: 950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.42 : 3,415.92 = 633.84 : x
  2. Step 2: Convert to fraction form
    2,277.42/3,415.92 = 633.84/x
  3. Step 3: Cross multiply
    2,277.42x = 3,415.92 × 633.84
  4. Step 4: Simplify right side
    2,277.42x = 2,165,146.73
  5. Step 5: Solve for x
    x = 2,165,146.73/2,277.42
  6. Step 6: Final answer
    x = 950.70

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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.