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Finding the Fourth Proportional to 2,735.26, 4,102.90 and 683.26

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Solution

The fourth proportional to 2,735.26, 4,102.90 and 683.26 is: 1,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.26 : 4,102.90 = 683.26 : x
  2. Step 2: Convert to fraction form
    2,735.26/4,102.90 = 683.26/x
  3. Step 3: Cross multiply
    2,735.26x = 4,102.90 × 683.26
  4. Step 4: Simplify right side
    2,735.26x = 2,803,347.45
  5. Step 5: Solve for x
    x = 2,803,347.45/2,735.26
  6. Step 6: Final answer
    x = 1,024.89

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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.