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Finding the Fourth Proportional to 2,735.70, 4,094.20 and 2,297.40

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Solution

The fourth proportional to 2,735.70, 4,094.20 and 2,297.40 is: 3,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.70 : 4,094.20 = 2,297.40 : x
  2. Step 2: Convert to fraction form
    2,735.70/4,094.20 = 2,297.40/x
  3. Step 3: Cross multiply
    2,735.70x = 4,094.20 × 2,297.40
  4. Step 4: Simplify right side
    2,735.70x = 9,406,015.08
  5. Step 5: Solve for x
    x = 9,406,015.08/2,735.70
  6. Step 6: Final answer
    x = 3,438.25

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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.