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Finding the Fourth Proportional to 2,455.92, 3,683.48 and 813.44

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Solution

The fourth proportional to 2,455.92, 3,683.48 and 813.44 is: 1,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.92 : 3,683.48 = 813.44 : x
  2. Step 2: Convert to fraction form
    2,455.92/3,683.48 = 813.44/x
  3. Step 3: Cross multiply
    2,455.92x = 3,683.48 × 813.44
  4. Step 4: Simplify right side
    2,455.92x = 2,996,295.11
  5. Step 5: Solve for x
    x = 2,996,295.11/2,455.92
  6. Step 6: Final answer
    x = 1,220.03

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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.