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Finding the Fourth Proportional to 3,083.74, 4,626.28 and 892.28

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Solution

The fourth proportional to 3,083.74, 4,626.28 and 892.28 is: 1,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.74 : 4,626.28 = 892.28 : x
  2. Step 2: Convert to fraction form
    3,083.74/4,626.28 = 892.28/x
  3. Step 3: Cross multiply
    3,083.74x = 4,626.28 × 892.28
  4. Step 4: Simplify right side
    3,083.74x = 4,127,937.12
  5. Step 5: Solve for x
    x = 4,127,937.12/3,083.74
  6. Step 6: Final answer
    x = 1,338.61

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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.