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Finding the Fourth Proportional to 2,902.84, 4,346.88 and 2,518.24

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Solution

The fourth proportional to 2,902.84, 4,346.88 and 2,518.24 is: 3,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.84 : 4,346.88 = 2,518.24 : x
  2. Step 2: Convert to fraction form
    2,902.84/4,346.88 = 2,518.24/x
  3. Step 3: Cross multiply
    2,902.84x = 4,346.88 × 2,518.24
  4. Step 4: Simplify right side
    2,902.84x = 10,946,487.09
  5. Step 5: Solve for x
    x = 10,946,487.09/2,902.84
  6. Step 6: Final answer
    x = 3,770.96

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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.