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Finding the Fourth Proportional to 2,125.90, 3,188.85 and 665.08

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Solution

The fourth proportional to 2,125.90, 3,188.85 and 665.08 is: 997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.90 : 3,188.85 = 665.08 : x
  2. Step 2: Convert to fraction form
    2,125.90/3,188.85 = 665.08/x
  3. Step 3: Cross multiply
    2,125.90x = 3,188.85 × 665.08
  4. Step 4: Simplify right side
    2,125.90x = 2,120,840.36
  5. Step 5: Solve for x
    x = 2,120,840.36/2,125.90
  6. Step 6: Final answer
    x = 997.62

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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.