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Finding the Fourth Proportional to 2,125.58, 3,188.37 and 664.74

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Solution

The fourth proportional to 2,125.58, 3,188.37 and 664.74 is: 997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.58 : 3,188.37 = 664.74 : x
  2. Step 2: Convert to fraction form
    2,125.58/3,188.37 = 664.74/x
  3. Step 3: Cross multiply
    2,125.58x = 3,188.37 × 664.74
  4. Step 4: Simplify right side
    2,125.58x = 2,119,437.07
  5. Step 5: Solve for x
    x = 2,119,437.07/2,125.58
  6. Step 6: Final answer
    x = 997.11

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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.