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Finding the Fourth Proportional to 2,314.70, 3,472.05 and 2,084.30

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Solution

The fourth proportional to 2,314.70, 3,472.05 and 2,084.30 is: 3,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.70 : 3,472.05 = 2,084.30 : x
  2. Step 2: Convert to fraction form
    2,314.70/3,472.05 = 2,084.30/x
  3. Step 3: Cross multiply
    2,314.70x = 3,472.05 × 2,084.30
  4. Step 4: Simplify right side
    2,314.70x = 7,236,793.82
  5. Step 5: Solve for x
    x = 7,236,793.82/2,314.70
  6. Step 6: Final answer
    x = 3,126.45

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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.