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Finding the Fourth Proportional to 2,533.41, 3,799.75 and 684.63

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Solution

The fourth proportional to 2,533.41, 3,799.75 and 684.63 is: 1,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.41 : 3,799.75 = 684.63 : x
  2. Step 2: Convert to fraction form
    2,533.41/3,799.75 = 684.63/x
  3. Step 3: Cross multiply
    2,533.41x = 3,799.75 × 684.63
  4. Step 4: Simplify right side
    2,533.41x = 2,601,422.84
  5. Step 5: Solve for x
    x = 2,601,422.84/2,533.41
  6. Step 6: Final answer
    x = 1,026.85

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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.