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Finding the Fourth Proportional to 2,922.84, 4,376.16 and 2,274.84

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Solution

The fourth proportional to 2,922.84, 4,376.16 and 2,274.84 is: 3,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.84 : 4,376.16 = 2,274.84 : x
  2. Step 2: Convert to fraction form
    2,922.84/4,376.16 = 2,274.84/x
  3. Step 3: Cross multiply
    2,922.84x = 4,376.16 × 2,274.84
  4. Step 4: Simplify right side
    2,922.84x = 9,955,063.81
  5. Step 5: Solve for x
    x = 9,955,063.81/2,922.84
  6. Step 6: Final answer
    x = 3,405.96

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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.