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Finding the Fourth Proportional to 1,682.78, 2,523.66 and 642.02

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Solution

The fourth proportional to 1,682.78, 2,523.66 and 642.02 is: 962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.78 : 2,523.66 = 642.02 : x
  2. Step 2: Convert to fraction form
    1,682.78/2,523.66 = 642.02/x
  3. Step 3: Cross multiply
    1,682.78x = 2,523.66 × 642.02
  4. Step 4: Simplify right side
    1,682.78x = 1,620,240.19
  5. Step 5: Solve for x
    x = 1,620,240.19/1,682.78
  6. Step 6: Final answer
    x = 962.84

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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.