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Finding the Fourth Proportional to 2,683.96, 4,024.48 and 834.28

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Solution

The fourth proportional to 2,683.96, 4,024.48 and 834.28 is: 1,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.96 : 4,024.48 = 834.28 : x
  2. Step 2: Convert to fraction form
    2,683.96/4,024.48 = 834.28/x
  3. Step 3: Cross multiply
    2,683.96x = 4,024.48 × 834.28
  4. Step 4: Simplify right side
    2,683.96x = 3,357,543.17
  5. Step 5: Solve for x
    x = 3,357,543.17/2,683.96
  6. Step 6: Final answer
    x = 1,250.97

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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.