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Finding the Fourth Proportional to 2,902.42, 4,351.81 and 1,914.17

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Solution

The fourth proportional to 2,902.42, 4,351.81 and 1,914.17 is: 2,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.42 : 4,351.81 = 1,914.17 : x
  2. Step 2: Convert to fraction form
    2,902.42/4,351.81 = 1,914.17/x
  3. Step 3: Cross multiply
    2,902.42x = 4,351.81 × 1,914.17
  4. Step 4: Simplify right side
    2,902.42x = 8,330,104.15
  5. Step 5: Solve for x
    x = 8,330,104.15/2,902.42
  6. Step 6: Final answer
    x = 2,870.05

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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.