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Finding the Fourth Proportional to 1,994.46, 2,991.84 and 954.92

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Solution

The fourth proportional to 1,994.46, 2,991.84 and 954.92 is: 1,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.46 : 2,991.84 = 954.92 : x
  2. Step 2: Convert to fraction form
    1,994.46/2,991.84 = 954.92/x
  3. Step 3: Cross multiply
    1,994.46x = 2,991.84 × 954.92
  4. Step 4: Simplify right side
    1,994.46x = 2,856,971.75
  5. Step 5: Solve for x
    x = 2,856,971.75/1,994.46
  6. Step 6: Final answer
    x = 1,432.46

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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.