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Finding the Fourth Proportional to 2,732.94, 3,771.90 and 1,685.07

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Solution

The fourth proportional to 2,732.94, 3,771.90 and 1,685.07 is: 2,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.94 : 3,771.90 = 1,685.07 : x
  2. Step 2: Convert to fraction form
    2,732.94/3,771.90 = 1,685.07/x
  3. Step 3: Cross multiply
    2,732.94x = 3,771.90 × 1,685.07
  4. Step 4: Simplify right side
    2,732.94x = 6,355,915.53
  5. Step 5: Solve for x
    x = 6,355,915.53/2,732.94
  6. Step 6: Final answer
    x = 2,325.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.