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Finding the Fourth Proportional to 2,684.70, 4,027.50 and 835.38

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Solution

The fourth proportional to 2,684.70, 4,027.50 and 835.38 is: 1,253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.70 : 4,027.50 = 835.38 : x
  2. Step 2: Convert to fraction form
    2,684.70/4,027.50 = 835.38/x
  3. Step 3: Cross multiply
    2,684.70x = 4,027.50 × 835.38
  4. Step 4: Simplify right side
    2,684.70x = 3,364,492.95
  5. Step 5: Solve for x
    x = 3,364,492.95/2,684.70
  6. Step 6: Final answer
    x = 1,253.21

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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.