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Finding the Fourth Proportional to 3,083.76, 4,626.02 and 1,003.20

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Solution

The fourth proportional to 3,083.76, 4,626.02 and 1,003.20 is: 1,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.76 : 4,626.02 = 1,003.20 : x
  2. Step 2: Convert to fraction form
    3,083.76/4,626.02 = 1,003.20/x
  3. Step 3: Cross multiply
    3,083.76x = 4,626.02 × 1,003.20
  4. Step 4: Simplify right side
    3,083.76x = 4,640,824.63
  5. Step 5: Solve for x
    x = 4,640,824.63/3,083.76
  6. Step 6: Final answer
    x = 1,504.93

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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.