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Finding the Fourth Proportional to 2,276.41, 3,414.63 and 633.46

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Solution

The fourth proportional to 2,276.41, 3,414.63 and 633.46 is: 950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.41 : 3,414.63 = 633.46 : x
  2. Step 2: Convert to fraction form
    2,276.41/3,414.63 = 633.46/x
  3. Step 3: Cross multiply
    2,276.41x = 3,414.63 × 633.46
  4. Step 4: Simplify right side
    2,276.41x = 2,163,031.52
  5. Step 5: Solve for x
    x = 2,163,031.52/2,276.41
  6. Step 6: Final answer
    x = 950.19

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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.