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Finding the Fourth Proportional to 2,635.90, 3,953.85 and 688.09

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Solution

The fourth proportional to 2,635.90, 3,953.85 and 688.09 is: 1,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.90 : 3,953.85 = 688.09 : x
  2. Step 2: Convert to fraction form
    2,635.90/3,953.85 = 688.09/x
  3. Step 3: Cross multiply
    2,635.90x = 3,953.85 × 688.09
  4. Step 4: Simplify right side
    2,635.90x = 2,720,584.02
  5. Step 5: Solve for x
    x = 2,720,584.02/2,635.90
  6. Step 6: Final answer
    x = 1,032.13

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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.