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Finding the Fourth Proportional to 2,834.49, 4,243.50 and 1,735.50

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Solution

The fourth proportional to 2,834.49, 4,243.50 and 1,735.50 is: 2,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.49 : 4,243.50 = 1,735.50 : x
  2. Step 2: Convert to fraction form
    2,834.49/4,243.50 = 1,735.50/x
  3. Step 3: Cross multiply
    2,834.49x = 4,243.50 × 1,735.50
  4. Step 4: Simplify right side
    2,834.49x = 7,364,594.25
  5. Step 5: Solve for x
    x = 7,364,594.25/2,834.49
  6. Step 6: Final answer
    x = 2,598.21

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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.