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Finding the Fourth Proportional to 2,683.98, 4,024.53 and 1,759.50

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Solution

The fourth proportional to 2,683.98, 4,024.53 and 1,759.50 is: 2,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.98 : 4,024.53 = 1,759.50 : x
  2. Step 2: Convert to fraction form
    2,683.98/4,024.53 = 1,759.50/x
  3. Step 3: Cross multiply
    2,683.98x = 4,024.53 × 1,759.50
  4. Step 4: Simplify right side
    2,683.98x = 7,081,160.54
  5. Step 5: Solve for x
    x = 7,081,160.54/2,683.98
  6. Step 6: Final answer
    x = 2,638.31

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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.