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Finding the Fourth Proportional to 1,682.37, 2,523.58 and 642.43

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Solution

The fourth proportional to 1,682.37, 2,523.58 and 642.43 is: 963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.37 : 2,523.58 = 642.43 : x
  2. Step 2: Convert to fraction form
    1,682.37/2,523.58 = 642.43/x
  3. Step 3: Cross multiply
    1,682.37x = 2,523.58 × 642.43
  4. Step 4: Simplify right side
    1,682.37x = 1,621,223.50
  5. Step 5: Solve for x
    x = 1,621,223.50/1,682.37
  6. Step 6: Final answer
    x = 963.65

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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.