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Finding the Fourth Proportional to 2,683.35, 4,024.76 and 735.84

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Solution

The fourth proportional to 2,683.35, 4,024.76 and 735.84 is: 1,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.35 : 4,024.76 = 735.84 : x
  2. Step 2: Convert to fraction form
    2,683.35/4,024.76 = 735.84/x
  3. Step 3: Cross multiply
    2,683.35x = 4,024.76 × 735.84
  4. Step 4: Simplify right side
    2,683.35x = 2,961,575.72
  5. Step 5: Solve for x
    x = 2,961,575.72/2,683.35
  6. Step 6: Final answer
    x = 1,103.69

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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.